#include <vector>
#include <complex>
#include <gtest/gtest.h>
#include "module_psi/kernels/memory_op.h"
#include "module_hamilt_pw/hamilt_pwdft/kernels/force_op.h"

class TestSrcPWForceMultiDevice : public ::testing::Test
{
protected:
    // xx = tf.random.uniform([100], minval=-4, maxval=4, dtype = tf.float64)

    const psi::DEVICE_CPU * cpu_ctx = {};
    const psi::DEVICE_GPU * gpu_ctx = {};

    int nkb = 36, npwx = 64, npwk_max = 64, vkb_nc = 64, nbasis = 59, ik = 0, ipol = 0;
    std::complex<double> NEG_IMAG_UNIT{0, -1};
    bool multi_proj = false;
    int nbands_occ = 16, wg_nc = 24, ntype = 2, spin = 0, deeq_2 = 2, deeq_3 = 18, deeq_4 = 18, forcenl_nc = 3, nbands = 24;
    double tpiba = 6.2831853071795862;
    std::vector<std::complex<double>> vkb = {{-7.205e-02, -1.850e-02}, {-1.075e-02, 8.512e-02}, {8.824e-02, -0.000e+00}, {-1.075e-02, -8.512e-02}, {-7.205e-02, 1.850e-02}, {7.441e-02, -2.946e-02}, {-4.133e-02, -7.519e-02}, {-6.860e-02, 4.984e-02}, {5.193e-02, 5.530e-02}, {-3.986e-02, 6.281e-02}, {6.864e-02, 3.230e-02}, {6.864e-02, -3.230e-02}, {-3.986e-02, -6.281e-02}, {5.193e-02, -5.530e-02}, {-6.860e-02, -4.984e-02}, {-4.133e-02, 7.519e-02}, {7.441e-02, 2.946e-02}, {7.862e-02, -1.500e-02}, {-2.651e-02, -8.160e-02}, {-7.672e-02, 3.610e-02}, {4.065e-02, 6.405e-02}, {-4.836e-02, -5.845e-02}, {-5.805e-02, 6.181e-02}, {6.941e-02, 5.043e-02}, {3.856e-02, -7.013e-02}, {7.348e-02, 1.887e-02}, {1.003e-02, -7.940e-02}, {-7.586e-02, 7.791e-17}, {-2.344e-02, 7.215e-02}, {7.862e-02, 1.500e-02}, {4.764e-03, -7.571e-02}, {-6.018e-02, 4.373e-02}, {5.193e-02, 5.530e-02}, {6.864e-02, 3.230e-02}, {2.473e-02, -7.612e-02}, {-7.452e-02, -1.422e-02}, {-7.452e-02, 1.422e-02}, {2.299e-02, 7.075e-02}, {5.193e-02, -5.530e-02}, {-6.018e-02, -4.373e-02}, {2.299e-02, -7.075e-02}, {-7.452e-02, -1.422e-02}, {-7.452e-02, 1.422e-02}, {2.473e-02, 7.612e-02}, {6.864e-02, -3.230e-02}, {4.065e-02, -6.405e-02}, {-7.672e-02, -3.610e-02}, {-2.651e-02, 8.160e-02}, {7.862e-02, 1.500e-02}, {4.764e-03, 7.571e-02}, {7.862e-02, -1.500e-02}, {-2.344e-02, -7.215e-02}, {-7.586e-02, -7.791e-17}, {1.003e-02, 7.940e-02}, {7.348e-02, -1.887e-02}, {3.856e-02, 7.013e-02}, {6.941e-02, -5.043e-02}, {-5.805e-02, -6.181e-02}, {-4.836e-02, 5.845e-02}, {4.548e-02, 5.498e-02}, {5.730e-02, -6.102e-02}, {-7.015e-02, -5.097e-02}, {-4.033e-02, 7.336e-02}, {6.634e-02, 2.627e-02}, {-4.457e-02, -1.144e-02}, {-1.723e-02, 1.364e-01}, {1.805e-01, -0.000e+00}, {-1.723e-02, -1.364e-01}, {-4.457e-02, 1.144e-02}, {7.490e-02, -2.966e-02}, {-6.625e-02, -1.205e-01}, {-1.009e-01, 7.332e-02}, {3.686e-02, 3.925e-02}, {-2.466e-02, 3.885e-02}, {4.872e-02, 2.293e-02}, {4.872e-02, -2.293e-02}, {-2.466e-02, -3.885e-02}, {3.686e-02, -3.925e-02}, {-1.009e-01, -7.332e-02}, {-6.625e-02, 1.205e-01}, {7.490e-02, 2.966e-02}, {7.913e-02, -1.510e-02}, {-4.249e-02, -1.308e-01}, {-1.129e-01, 5.311e-02}, {2.885e-02, 4.546e-02}, {-3.432e-02, -4.149e-02}, {-8.539e-02, 9.093e-02}, {1.112e-01, 8.083e-02}, {3.881e-02, -7.059e-02}, {5.215e-02, 1.339e-02}, {1.010e-02, -7.992e-02}, {-5.384e-02, 5.529e-17}, {-1.664e-02, 5.121e-02}, {7.913e-02, 1.510e-02}, {3.381e-03, -5.374e-02}, {-3.723e-02, 2.705e-02}, {3.686e-02, 3.925e-02}, {4.872e-02, 2.293e-02}, {2.489e-02, -7.662e-02}, {-5.289e-02, -1.009e-02}, {-5.289e-02, 1.009e-02}, {1.422e-02, 4.376e-02}, {3.686e-02, -3.925e-02}, {-3.723e-02, -2.705e-02}, {1.422e-02, -4.376e-02}, {-5.289e-02, -1.009e-02}, {-5.289e-02, 1.009e-02}, {2.489e-02, 7.662e-02}, {4.872e-02, -2.293e-02}, {2.885e-02, -4.546e-02}, {-1.129e-01, -5.311e-02}, {-4.249e-02, 1.308e-01}, {7.913e-02, 1.510e-02}, {3.381e-03, 5.374e-02}, {7.913e-02, -1.510e-02}, {-1.664e-02, -5.121e-02}, {-5.384e-02, -5.529e-17}, {1.010e-02, 7.992e-02}, {5.215e-02, -1.339e-02}, {3.881e-02, 7.059e-02}, {1.112e-01, -8.083e-02}, {-8.539e-02, -9.093e-02}, {-3.432e-02, 4.149e-02}, {2.029e-02, 2.453e-02}, {7.714e-02, -8.215e-02}, {-1.222e-01, -8.878e-02}, {-5.429e-02, 9.875e-02}, {2.960e-02, 1.172e-02}, {9.731e-03, -3.790e-02}, {-1.942e-02, -2.453e-03}, {0.000e+00, -0.000e+00}, {-1.942e-02, 2.453e-03}, {9.731e-03, 3.790e-02}, {0.000e+00, -0.000e+00}, {-1.715e-02, 9.428e-03}, {2.315e-02, 3.186e-02}, {4.301e-02, -4.039e-02}, {3.304e-02, 2.097e-02}, {2.512e-02, -5.339e-02}, {2.512e-02, 5.339e-02}, {3.304e-02, -2.097e-02}, {4.301e-02, 4.039e-02}, {2.315e-02, -3.186e-02}, {-1.715e-02, -9.428e-03}, {0.000e+00, 0.000e+00}, {7.437e-03, 3.899e-02}, {1.861e-02, -6.048e-03}, {0.000e+00, 0.000e+00}, {1.661e-02, -1.054e-02}, {1.516e-02, -1.254e-02}, {0.000e+00, 0.000e+00}, {1.150e-02, -1.583e-02}, {-3.478e-02, -1.912e-02}, {4.892e-03, -1.905e-02}, {-3.938e-02, -4.975e-03}, {5.699e-17, 5.901e-02}, {-5.612e-02, -1.823e-02}, {-7.437e-03, 3.899e-02}, {1.963e-02, 1.235e-03}, {-2.300e-02, -3.165e-02}, {-1.434e-02, 1.346e-02}, {-8.375e-03, 1.780e-02}, {0.000e+00, -0.000e+00}, {-3.686e-03, 1.932e-02}, {3.686e-03, 1.932e-02}, {3.721e-02, -1.209e-02}, {-1.434e-02, -1.346e-02}, {-2.300e-02, 3.165e-02}, {3.721e-02, 1.209e-02}, {3.686e-03, -1.932e-02}, {-3.686e-03, -1.932e-02}, {0.000e+00, 0.000e+00}, {-8.375e-03, -1.780e-02}, {1.661e-02, 1.054e-02}, {-0.000e+00, 0.000e+00}, {1.861e-02, 6.048e-03}, {7.437e-03, -3.899e-02}, {1.963e-02, -1.235e-03}, {-7.437e-03, -3.899e-02}, {-5.612e-02, 1.823e-02}, {6.421e-17, -5.901e-02}, {-3.938e-02, 4.975e-03}, {4.892e-03, 1.905e-02}, {-3.478e-02, 1.912e-02}, {1.150e-02, 1.583e-02}, {-0.000e+00, 0.000e+00}, {1.516e-02, 1.254e-02}, {-2.973e-02, 2.459e-02}, {1.442e-02, 1.354e-02}, {-0.000e+00, 0.000e+00}, {1.733e-02, 9.528e-03}, {1.420e-02, -3.587e-02}, {-9.731e-03, 3.790e-02}, {1.942e-02, 2.453e-03}, {0.000e+00, 0.000e+00}, {1.942e-02, -2.453e-03}, {-9.731e-03, -3.790e-02}, {-1.461e-02, -3.690e-02}, {-1.715e-02, 9.428e-03}, {0.000e+00, -0.000e+00}, {-1.434e-02, 1.346e-02}, {3.304e-02, 2.097e-02}, {8.375e-03, -1.780e-02}, {8.375e-03, 1.780e-02}, {3.304e-02, -2.097e-02}, {-1.434e-02, -1.346e-02}, {0.000e+00, 0.000e+00}, {-1.715e-02, -9.428e-03}, {-1.461e-02, 3.690e-02}, {4.554e-19, 2.387e-18}, {1.861e-02, -6.048e-03}, {-1.677e-02, -3.563e-02}, {-4.982e-02, 3.162e-02}, {-1.516e-02, 1.254e-02}, {-1.758e-18, -1.651e-18}, {-1.150e-02, 1.583e-02}, {3.478e-02, 1.912e-02}, {4.892e-03, -1.905e-02}, {2.411e-18, 3.046e-19}, {-1.900e-17, -1.967e-02}, {-1.871e-02, -6.078e-03}, {-7.437e-03, 3.899e-02}, {5.889e-02, 3.705e-03}, {-2.300e-02, -3.165e-02}, {-4.301e-02, 4.039e-02}, {-8.375e-03, 1.780e-02}, {3.775e-02, 1.227e-02}, {1.106e-02, -5.796e-02}, {-3.686e-03, -1.932e-02}, {-3.721e-02, 1.209e-02}, {-4.301e-02, -4.039e-02}, {-2.300e-02, 3.165e-02}, {-3.721e-02, -1.209e-02}, {-3.686e-03, 1.932e-02}, {1.106e-02, 5.796e-02}, {3.775e-02, -1.227e-02}, {-8.375e-03, -1.780e-02}, {-4.982e-02, -3.162e-02}, {-1.677e-02, 3.563e-02}, {1.861e-02, 6.048e-03}, {-4.554e-19, 2.387e-18}, {5.889e-02, -3.705e-03}, {-7.437e-03, -3.899e-02}, {-1.871e-02, 6.078e-03}, {-2.140e-17, 1.967e-02}, {-2.411e-18, 3.046e-19}, {4.892e-03, 1.905e-02}, {3.478e-02, -1.912e-02}, {-1.150e-02, -1.583e-02}, {1.758e-18, -1.651e-18}, {-1.516e-02, -1.254e-02}, {4.459e-02, -3.689e-02}, {-2.883e-02, -2.708e-02}, {-1.141e-02, 1.571e-02}, {-2.122e-18, -1.167e-18}, {-7.101e-03, 1.794e-02}, {9.731e-03, -3.790e-02}, {-1.942e-02, -2.453e-03}, {0.000e+00, 0.000e+00}, {-1.942e-02, 2.453e-03}, {9.731e-03, 3.790e-02}, {1.461e-02, 3.690e-02}, {1.715e-02, -9.428e-03}, {0.000e+00, -0.000e+00}, {1.434e-02, -1.346e-02}, {-3.304e-02, -2.097e-02}, {-8.375e-03, 1.780e-02}, {-8.375e-03, -1.780e-02}, {-3.304e-02, 2.097e-02}, {1.434e-02, 1.346e-02}, {0.000e+00, 0.000e+00}, {1.715e-02, 9.428e-03}, {1.461e-02, -3.690e-02}, {7.437e-03, 3.899e-02}, {1.861e-02, -6.048e-03}, {0.000e+00, -0.000e+00}, {1.661e-02, -1.054e-02}, {4.547e-02, -3.761e-02}, {-2.871e-02, -2.696e-02}, {-1.150e-02, 1.583e-02}, {0.000e+00, 0.000e+00}, {-1.467e-02, 5.715e-02}, {3.938e-02, 4.975e-03}, {-1.900e-17, -1.967e-02}, {-1.871e-02, -6.078e-03}, {-0.000e+00, 0.000e+00}, {-1.963e-02, -1.235e-03}, {-2.300e-02, -3.165e-02}, {-1.434e-02, 1.346e-02}, {-2.512e-02, 5.339e-02}, {3.775e-02, 1.227e-02}, {3.686e-03, -1.932e-02}, {-1.106e-02, -5.796e-02}, {-3.721e-02, 1.209e-02}, {-1.434e-02, -1.346e-02}, {-2.300e-02, 3.165e-02}, {-3.721e-02, -1.209e-02}, {-1.106e-02, 5.796e-02}, {3.686e-03, 1.932e-02}, {3.775e-02, -1.227e-02}, {-2.512e-02, -5.339e-02}, {1.661e-02, 1.054e-02}, {2.054e-18, -4.364e-18}, {1.861e-02, 6.048e-03}, {7.437e-03, -3.899e-02}, {-1.963e-02, 1.235e-03}, {9.108e-19, 4.775e-18}, {-1.871e-02, 6.078e-03}, {-2.140e-17, 1.967e-02}, {3.938e-02, -4.975e-03}, {-1.467e-02, -5.715e-02}, {-4.260e-18, 2.342e-18}, {-1.150e-02, -1.583e-02}, {-2.871e-02, 2.696e-02}, {4.547e-02, 3.761e-02}, {-1.486e-02, 1.230e-02}, {3.531e-18, 3.316e-18}, {-1.141e-02, 1.571e-02}, {3.466e-02, 1.906e-02}, {2.130e-02, -5.381e-02}, {1.922e-02, -7.486e-02}, {-7.155e-02, -9.039e-03}, {0.000e+00, -0.000e+00}, {-7.155e-02, 9.039e-03}, {1.922e-02, 7.486e-02}, {0.000e+00, -0.000e+00}, {-6.320e-02, 3.474e-02}, {7.949e-02, 1.094e-01}, {9.110e-02, -8.555e-02}, {6.525e-02, 4.141e-02}, {5.321e-02, -1.131e-01}, {5.321e-02, 1.131e-01}, {6.525e-02, -4.141e-02}, {9.110e-02, 8.555e-02}, {7.949e-02, -1.094e-01}, {-6.320e-02, -3.474e-02}, {0.000e+00, 0.000e+00}, {1.937e-02, 1.015e-01}, {6.859e-02, -2.229e-02}, {0.000e+00, 0.000e+00}, {3.517e-02, -2.232e-02}, {3.210e-02, -2.655e-02}, {0.000e+00, 0.000e+00}, {4.239e-02, -5.834e-02}, {-9.058e-02, -4.980e-02}, {1.036e-02, -4.035e-02}, {-1.026e-01, -1.296e-02}, {1.207e-16, 1.250e-01}, {-1.189e-01, -3.862e-02}, {-1.937e-02, 1.015e-01}, {4.157e-02, 2.616e-03}, {-4.543e-02, -6.253e-02}, {-3.037e-02, 2.852e-02}, {-1.774e-02, 3.769e-02}, {0.000e+00, -0.000e+00}, {-7.806e-03, 4.092e-02}, {7.806e-03, 4.092e-02}, {7.350e-02, -2.388e-02}, {-3.037e-02, -2.852e-02}, {-4.543e-02, 6.253e-02}, {7.350e-02, 2.388e-02}, {7.806e-03, -4.092e-02}, {-7.806e-03, -4.092e-02}, {0.000e+00, 0.000e+00}, {-1.774e-02, -3.769e-02}, {3.517e-02, 2.232e-02}, {-0.000e+00, 0.000e+00}, {6.859e-02, 2.229e-02}, {1.937e-02, -1.015e-01}, {4.157e-02, -2.616e-03}, {-1.937e-02, -1.015e-01}, {-1.189e-01, 3.862e-02}, {1.360e-16, -1.250e-01}, {-1.026e-01, 1.296e-02}, {1.036e-02, 4.035e-02}, {-9.058e-02, 4.980e-02}, {4.239e-02, 5.834e-02}, {-0.000e+00, 0.000e+00}, {3.210e-02, 2.655e-02}, {-5.096e-02, 4.216e-02}, {4.617e-02, 4.336e-02}, {-0.000e+00, 0.000e+00}, {5.550e-02, 3.051e-02}, {2.435e-02, -6.150e-02}, {-1.922e-02, 7.486e-02}, {7.155e-02, 9.039e-03}, {0.000e+00, 0.000e+00}, {7.155e-02, -9.039e-03}, {-1.922e-02, -7.486e-02}, {-3.805e-02, -9.611e-02}, {-6.320e-02, 3.474e-02}, {0.000e+00, -0.000e+00}, {-3.037e-02, 2.852e-02}, {6.525e-02, 4.141e-02}, {1.774e-02, -3.769e-02}, {1.774e-02, 3.769e-02}, {6.525e-02, -4.141e-02}, {-3.037e-02, -2.852e-02}, {0.000e+00, 0.000e+00}, {-6.320e-02, -3.474e-02}, {-3.805e-02, 9.611e-02}, {1.186e-18, 6.217e-18}, {6.859e-02, -2.229e-02}, {-5.758e-02, -1.224e-01}, {-1.055e-01, 6.696e-02}, {-3.210e-02, 2.655e-02}, {-6.037e-18, -5.669e-18}, {-4.239e-02, 5.834e-02}, {9.058e-02, 4.980e-02}, {1.036e-02, -4.035e-02}, {6.279e-18, 7.933e-19}, {-4.023e-17, -4.166e-02}, {-3.962e-02, -1.287e-02}, {-1.937e-02, 1.015e-01}, {1.247e-01, 7.847e-03}, {-4.543e-02, -6.253e-02}, {-9.110e-02, 8.555e-02}, {-1.774e-02, 3.769e-02}, {9.831e-02, 3.194e-02}, {2.342e-02, -1.228e-01}, {-7.806e-03, -4.092e-02}, {-7.350e-02, 2.388e-02}, {-9.110e-02, -8.555e-02}, {-4.543e-02, 6.253e-02}, {-7.350e-02, -2.388e-02}, {-7.806e-03, 4.092e-02}, {2.342e-02, 1.228e-01}, {9.831e-02, -3.194e-02}, {-1.774e-02, -3.769e-02}, {-1.055e-01, -6.696e-02}, {-5.758e-02, 1.224e-01}, {6.859e-02, 2.229e-02}, {-1.186e-18, 6.217e-18}, {1.247e-01, -7.847e-03}, {-1.937e-02, -1.015e-01}, {-3.962e-02, 1.287e-02}, {-4.533e-17, 4.166e-02}, {-6.279e-18, 7.933e-19}, {1.036e-02, 4.035e-02}, {9.058e-02, -4.980e-02}, {-4.239e-02, -5.834e-02}, {6.037e-18, -5.669e-18}, {-3.210e-02, -2.655e-02}, {7.644e-02, -6.324e-02}, {-9.234e-02, -8.672e-02}, {-4.516e-02, 6.216e-02}, {-6.797e-18, -3.737e-18}, {-1.217e-02, 3.075e-02}, {1.922e-02, -7.486e-02}, {-7.155e-02, -9.039e-03}, {0.000e+00, 0.000e+00}, {-7.155e-02, 9.039e-03}, {1.922e-02, 7.486e-02}, {3.805e-02, 9.611e-02}, {6.320e-02, -3.474e-02}, {0.000e+00, -0.000e+00}, {3.037e-02, -2.852e-02}, {-6.525e-02, -4.141e-02}, {-1.774e-02, 3.769e-02}, {-1.774e-02, -3.769e-02}, {-6.525e-02, 4.141e-02}, {3.037e-02, 2.852e-02}, {0.000e+00, 0.000e+00}, {6.320e-02, 3.474e-02}, {3.805e-02, -9.611e-02}, {1.937e-02, 1.015e-01}, {6.859e-02, -2.229e-02}, {0.000e+00, -0.000e+00}, {3.517e-02, -2.232e-02}, {9.629e-02, -7.966e-02}, {-9.859e-02, -9.258e-02}, {-4.239e-02, 5.834e-02}, {0.000e+00, 0.000e+00}, {-3.108e-02, 1.210e-01}, {1.026e-01, 1.296e-02}, {-4.023e-17, -4.166e-02}, 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{-2.568e-02, -3.145e-18}, {-8.561e-03, -1.048e-18}, {0.000e+00, 0.000e+00}, {-9.403e-03, -1.152e-18}, {-3.573e-02, -4.375e-18}, {8.561e-03, 1.048e-18}, {4.375e-18, 5.358e-34}, {-2.568e-02, -3.145e-18}, {2.568e-02, 3.145e-18}, {3.573e-02, 4.375e-18}, {2.568e-02, 3.145e-18}, {-4.375e-18, -5.358e-34}, {9.403e-03, 1.152e-18}, {0.000e+00, -0.000e+00}, {-2.568e-02, -3.145e-18}, {-1.629e-02, -1.995e-18}, {-2.263e-18, -2.772e-34}, {0.000e+00, -0.000e+00}, {-1.848e-02, -2.263e-18}, {-4.886e-02, -5.984e-18}, {6.192e-18, 7.583e-34}, {1.727e-18, 2.115e-34}, {0.000e+00, 0.000e+00}, {-5.758e-19, -7.051e-35}, {-2.064e-18, -2.528e-34}, {6.563e-18, 8.038e-34}, {1.727e-18, 2.115e-34}, {0.000e+00, 0.000e+00}, {-5.242e-19, -6.420e-35}, {6.192e-18, 7.583e-34}, {1.573e-18, 1.926e-34}, {-5.242e-19, -6.420e-35}, {-2.064e-18, -2.528e-34}, {1.573e-18, 1.926e-34}, {0.000e+00, 0.000e+00}, {-5.758e-19, -7.051e-35}, {-2.188e-18, -2.679e-34}, {1.786e-02, 2.188e-18}, {-5.758e-19, -7.051e-35}, {-1.865e-02, -2.284e-18}, {-3.425e-02, -4.194e-18}, {3.425e-02, 4.194e-18}, {1.865e-02, 2.284e-18}, {-5.758e-19, -7.051e-35}, {-1.786e-02, -2.188e-18}, {3.425e-02, 4.194e-18}, {1.786e-02, 2.188e-18}, {1.377e-18, 1.686e-34}, {-5.242e-19, -6.420e-35}, {-1.786e-02, -2.188e-18}, {-3.425e-02, -4.194e-18}, {-2.064e-18, -2.528e-34}, {-3.425e-02, -4.194e-18}, {3.425e-02, 4.194e-18}, {5.746e-18, 7.036e-34}, {-3.425e-02, -4.194e-18}, {3.425e-02, 4.194e-18}, {-2.064e-18, -2.528e-34}, {-3.425e-02, -4.194e-18}, {-1.032e-17, -1.264e-33}, {-1.032e-17, -1.264e-33}, {3.425e-02, 4.194e-18}, {-3.425e-02, -4.194e-18}, {-1.094e-17, -1.340e-33}, {3.425e-02, 4.194e-18}, {-3.425e-02, -4.194e-18}, {-1.865e-02, -2.284e-18}, {-2.879e-18, -3.526e-34}, {1.786e-02, 2.188e-18}, {-3.425e-02, -4.194e-18}, {-1.786e-02, -2.188e-18}, {-2.621e-18, -3.210e-34}, {-2.621e-18, -3.210e-34}, {1.786e-02, 2.188e-18}, {3.425e-02, 4.194e-18}, {-1.786e-02, -2.188e-18}, {-2.879e-18, -3.526e-34}, {1.865e-02, 2.284e-18}, {3.425e-02, 4.194e-18}, {-3.257e-02, -3.989e-18}, {-1.848e-02, -2.263e-18}, {-2.899e-18, -3.550e-34}, {1.848e-02, 2.263e-18}, {3.257e-02, 3.989e-18}, {3.371e-02, 4.128e-18}, {9.403e-03, 1.152e-18}, {-0.000e+00, 0.000e+00}, {9.403e-03, 1.152e-18}, {3.371e-02, 4.128e-18}, {3.573e-02, 4.375e-18}, {9.403e-03, 1.152e-18}, {-0.000e+00, 0.000e+00}, {8.561e-03, 1.048e-18}, {3.371e-02, 4.128e-18}, {8.561e-03, 1.048e-18}, {8.561e-03, 1.048e-18}, {3.371e-02, 4.128e-18}, {8.561e-03, 1.048e-18}, {0.000e+00, -0.000e+00}, {9.403e-03, 1.152e-18}, {3.573e-02, 4.375e-18}, {-2.188e-18, -2.679e-34}, {-9.403e-03, -1.152e-18}, {-0.000e+00, 0.000e+00}, {2.568e-02, 3.145e-18}, {2.568e-02, 3.145e-18}, {-2.284e-18, -2.798e-34}, {-9.403e-03, -1.152e-18}, {-0.000e+00, 0.000e+00}, {2.568e-02, 3.145e-18}, {-2.188e-18, -2.679e-34}, {-8.561e-03, -1.048e-18}, {-8.561e-03, -1.048e-18}, {0.000e+00, -0.000e+00}, {2.568e-02, 3.145e-18}, {-3.371e-02, -4.128e-18}, {-2.568e-02, -3.145e-18}, {-2.568e-02, -3.145e-18}, {-3.573e-02, -4.375e-18}, {-2.568e-02, -3.145e-18}, {-2.568e-02, -3.145e-18}, {-3.371e-02, -4.128e-18}, {-2.568e-02, -3.145e-18}, {-3.371e-02, -4.128e-18}, {-3.371e-02, -4.128e-18}, {-2.568e-02, -3.145e-18}, {-2.568e-02, -3.145e-18}, {-3.573e-02, -4.375e-18}, {-2.568e-02, -3.145e-18}, {2.568e-02, 3.145e-18}, {4.569e-18, 5.595e-34}, {-9.403e-03, -1.152e-18}, {2.188e-18, 2.679e-34}, {2.568e-02, 3.145e-18}, {4.375e-18, 5.358e-34}, {-8.561e-03, -1.048e-18}, {-8.561e-03, -1.048e-18}, {2.188e-18, 2.679e-34}, {2.568e-02, 3.145e-18}, {4.375e-18, 5.358e-34}, {-9.403e-03, -1.152e-18}, {2.284e-18, 2.798e-34}, {2.568e-02, 3.145e-18}, {2.443e-02, 2.992e-18}, {4.527e-18, 5.544e-34}, {-9.469e-03, -1.160e-18}, {2.263e-18, 2.772e-34}, {2.443e-02, 2.992e-18}};

    std::vector<std::complex<double>> expected_vkb1 = {{3.471e-03, -1.352e-02}, {-7.985e-03, -1.009e-03}, {0.000e+00, -0.000e+00}, {-7.985e-03, 1.009e-03}, {3.471e-03, 1.352e-02}, {5.528e-03, 1.396e-02}, {7.053e-03, -3.877e-03}, {0.000e+00, 0.000e+00}, {5.188e-03, -4.872e-03}, {-1.178e-02, -7.479e-03}, {-3.030e-03, 6.439e-03}, {-3.030e-03, -6.439e-03}, {-1.178e-02, 7.479e-03}, {5.188e-03, 4.872e-03}, {-0.000e+00, 0.000e+00}, {7.053e-03, 3.877e-03}, {5.528e-03, -1.396e-02}, {-0.000e+00, -0.000e+00}, {-7.655e-03, 2.487e-03}, {6.774e-03, 1.439e-02}, {1.803e-02, -1.144e-02}, {5.484e-03, -4.536e-03}, {0.000e+00, 0.000e+00}, {4.731e-03, -6.512e-03}, {-1.316e-02, -7.234e-03}, {-1.770e-03, 6.893e-03}, {-0.000e+00, -0.000e+00}, {7.309e-18, 7.117e-03}, {6.768e-03, 2.199e-03}, {2.814e-03, -1.475e-02}, {-2.131e-02, -1.341e-03}, {8.204e-03, 1.129e-02}, {1.556e-02, -1.462e-02}, {3.030e-03, -6.439e-03}, {-1.428e-02, -4.640e-03}, {-4.001e-03, 2.097e-02}, {1.334e-03, 6.991e-03}, {1.327e-02, -4.313e-03}, {1.556e-02, 1.462e-02}, {8.204e-03, -1.129e-02}, {1.327e-02, 4.313e-03}, {1.334e-03, -6.991e-03}, {-4.001e-03, -2.097e-02}, {-1.428e-02, 4.640e-03}, {3.030e-03, 6.439e-03}, {1.803e-02, 1.144e-02}, {6.774e-03, -1.439e-02}, {-7.655e-03, -2.487e-03}, {0.000e+00, -0.000e+00}, {-2.131e-02, 1.341e-03}, {2.814e-03, 1.475e-02}, {6.768e-03, -2.199e-03}, {7.309e-18, -7.117e-03}, {0.000e+00, -0.000e+00}, {-1.770e-03, -6.893e-03}, {-1.316e-02, 7.234e-03}, {4.731e-03, 6.512e-03}, {-0.000e+00, 0.000e+00}, {5.484e-03, 4.536e-03}, {-2.824e-01, 3.011e-02}, {-1.219e-01, -2.887e-01}, {3.144e-01, 1.825e-01}, {-4.745e-02, 1.205e-03}, {-3.290e-01, -7.122e-02}, {2.147e-03, -8.362e-03}, {-1.280e-02, -1.617e-03}, {0.000e+00, -0.000e+00}, {-1.280e-02, 1.617e-03}, {2.147e-03, 8.362e-03}, {5.564e-03, 1.405e-02}, {1.130e-02, -6.215e-03}, {0.000e+00, 0.000e+00}, {3.682e-03, -3.458e-03}, {-7.290e-03, -4.626e-03}, {-2.151e-03, 4.570e-03}, {-2.151e-03, -4.570e-03}, {-7.290e-03, 4.626e-03}, {3.682e-03, 3.458e-03}, {-0.000e+00, 0.000e+00}, {1.130e-02, 6.215e-03}, {5.564e-03, -1.405e-02}, {-0.000e+00, -0.000e+00}, {-1.227e-02, 3.986e-03}, {9.965e-03, 2.118e-02}, {1.279e-02, -8.119e-03}, {3.892e-03, -3.220e-03}, {0.000e+00, 0.000e+00}, {7.582e-03, -1.044e-02}, {-1.324e-02, -7.281e-03}, {-1.256e-03, 4.892e-03}, {-0.000e+00, -0.000e+00}, {5.187e-18, 5.051e-03}, {4.804e-03, 1.561e-03}, {2.832e-03, -1.485e-02}, {-1.512e-02, -9.515e-04}, {5.075e-03, 6.985e-03}, {1.105e-02, -1.037e-02}, {2.151e-03, -4.570e-03}, {-1.437e-02, -4.671e-03}, {-2.839e-03, 1.488e-02}, {9.464e-04, 4.961e-03}, {8.211e-03, -2.668e-03}, {1.105e-02, 1.037e-02}, {5.075e-03, -6.985e-03}, {8.211e-03, 2.668e-03}, {9.464e-04, -4.961e-03}, {-2.839e-03, -1.488e-02}, {-1.437e-02, 4.671e-03}, {2.151e-03, 4.570e-03}, {1.279e-02, 8.119e-03}, {9.965e-03, -2.118e-02}, {-1.227e-02, -3.986e-03}, {0.000e+00, -0.000e+00}, {-1.512e-02, 9.515e-04}, {2.832e-03, 1.485e-02}, {4.804e-03, -1.561e-03}, {5.187e-18, -5.051e-03}, {0.000e+00, -0.000e+00}, {-1.256e-03, -4.892e-03}, {-1.324e-02, 7.281e-03}, {7.582e-03, 1.044e-02}, {-0.000e+00, 0.000e+00}, {3.892e-03, 3.220e-03}, {-2.568e-01, 6.295e-02}, {-6.861e-02, -6.757e-02}, {9.988e-02, -6.012e-02}, {2.471e-01, 1.142e-01}, {-2.187e-01, -8.632e-02}, {7.110e-03, 1.826e-03}, {2.301e-04, -1.821e-03}, {0.000e+00, -0.000e+00}, {2.301e-04, 1.821e-03}, {7.110e-03, -1.826e-03}, {-0.000e+00, 0.000e+00}, {-8.845e-04, -1.609e-03}, {0.000e+00, -0.000e+00}, {-3.789e-03, -4.035e-03}, {-3.933e-03, 6.198e-03}, {5.009e-03, 2.357e-03}, {5.009e-03, -2.357e-03}, {-3.933e-03, -6.198e-03}, {-3.789e-03, 4.035e-03}, {-0.000e+00, -0.000e+00}, {-8.845e-04, 1.609e-03}, {0.000e+00, 0.000e+00}, {0.000e+00, -0.000e+00}, {-5.673e-04, -1.746e-03}, {0.000e+00, 0.000e+00}, {-2.966e-03, -4.674e-03}, {1.176e-03, 1.422e-03}, {0.000e+00, 0.000e+00}, {-1.485e-03, -1.079e-03}, {-3.588e-03, 6.526e-03}, {1.787e-03, 4.589e-04}, {-0.000e+00, 0.000e+00}, {5.535e-03, -5.346e-18}, {-1.711e-03, 5.265e-03}, {7.315e-03, 1.395e-03}, {3.476e-04, -5.525e-03}, {-5.939e-03, 4.315e-03}, {3.789e-03, 4.035e-03}, {1.670e-03, 7.856e-04}, {0.000e+00, -0.000e+00}, {5.437e-03, 1.037e-03}, {1.812e-03, -3.457e-04}, {-2.268e-03, -6.982e-03}, {3.789e-03, -4.035e-03}, {-5.939e-03, -4.315e-03}, {-2.268e-03, 6.982e-03}, {1.812e-03, 3.457e-04}, {5.437e-03, -1.037e-03}, {-0.000e+00, -0.000e+00}, {1.670e-03, -7.856e-04}, {-2.966e-03, 4.674e-03}, {-0.000e+00, -0.000e+00}, {-5.673e-04, 1.746e-03}, {-0.000e+00, -0.000e+00}, {3.476e-04, 5.525e-03}, {7.315e-03, -1.395e-03}, {-1.711e-03, -5.265e-03}, {5.535e-03, 6.024e-18}, {0.000e+00, 0.000e+00}, {1.787e-03, -4.589e-04}, {-3.588e-03, -6.526e-03}, {-1.485e-03, 1.079e-03}, {0.000e+00, 0.000e+00}, {1.176e-03, -1.422e-03}, {4.202e-03, 1.393e-01}, {-1.413e-01, 1.252e-01}, {-1.313e-01, -3.346e-01}, {1.673e-02, -1.363e-01}, {5.123e-02, 8.462e-02}, {-7.110e-03, -1.826e-03}, {-2.301e-04, 1.821e-03}, {0.000e+00, 0.000e+00}, {-2.301e-04, -1.821e-03}, {-7.110e-03, 1.826e-03}, {6.924e-03, -2.741e-03}, {-8.845e-04, -1.609e-03}, {0.000e+00, -0.000e+00}, {1.263e-03, 1.345e-03}, {-3.933e-03, 6.198e-03}, {1.670e-03, 7.856e-04}, {1.670e-03, -7.856e-04}, {-3.933e-03, -6.198e-03}, {1.263e-03, -1.345e-03}, {0.000e+00, 0.000e+00}, {-8.845e-04, 1.609e-03}, {6.924e-03, 2.741e-03}, {0.000e+00, -0.000e+00}, {-5.673e-04, -1.746e-03}, {-6.686e-03, 3.146e-03}, {8.898e-03, 1.402e-02}, {-1.176e-03, -1.422e-03}, {-0.000e+00, 0.000e+00}, {1.485e-03, 1.079e-03}, {3.588e-03, -6.526e-03}, {1.787e-03, 4.589e-04}, {0.000e+00, -0.000e+00}, {-1.845e-03, 1.782e-18}, {-5.702e-04, 1.755e-03}, {7.315e-03, 1.395e-03}, {1.043e-03, -1.657e-02}, {-5.939e-03, 4.315e-03}, {1.137e-02, 1.211e-02}, {1.670e-03, 7.856e-04}, {2.301e-03, -7.082e-03}, {-1.631e-02, -3.112e-03}, {-1.812e-03, 3.457e-04}, {2.268e-03, 6.982e-03}, {1.137e-02, -1.211e-02}, {-5.939e-03, -4.315e-03}, {2.268e-03, -6.982e-03}, {-1.812e-03, -3.457e-04}, {-1.631e-02, 3.112e-03}, {2.301e-03, 7.082e-03}, {1.670e-03, -7.856e-04}, {8.898e-03, -1.402e-02}, {-6.686e-03, -3.146e-03}, {-5.673e-04, 1.746e-03}, {0.000e+00, 0.000e+00}, {1.043e-03, 1.657e-02}, {7.315e-03, -1.395e-03}, {-5.702e-04, -1.755e-03}, {-1.845e-03, -2.008e-18}, {0.000e+00, 0.000e+00}, {1.787e-03, -4.589e-04}, {3.588e-03, 6.526e-03}, {1.485e-03, -1.079e-03}, {-0.000e+00, -0.000e+00}, {-1.176e-03, 1.422e-03}, {-1.518e-01, -6.247e-02}, {-3.647e-01, -1.819e-01}, {1.865e-01, -2.641e-01}, {-2.827e-01, 6.192e-01}, {-2.059e-01, -1.598e-03}, {7.110e-03, 1.826e-03}, {2.301e-04, -1.821e-03}, {0.000e+00, 0.000e+00}, {2.301e-04, 1.821e-03}, {7.110e-03, -1.826e-03}, {-6.924e-03, 2.741e-03}, {8.845e-04, 1.609e-03}, {0.000e+00, -0.000e+00}, {-1.263e-03, -1.345e-03}, {3.933e-03, -6.198e-03}, {-1.670e-03, -7.856e-04}, {-1.670e-03, 7.856e-04}, {3.933e-03, 6.198e-03}, {-1.263e-03, 1.345e-03}, {0.000e+00, 0.000e+00}, {8.845e-04, -1.609e-03}, {-6.924e-03, -2.741e-03}, {0.000e+00, -0.000e+00}, {-5.673e-04, -1.746e-03}, {0.000e+00, -0.000e+00}, {-2.966e-03, -4.674e-03}, {3.528e-03, 4.265e-03}, {-0.000e+00, 0.000e+00}, {1.485e-03, 1.079e-03}, {0.000e+00, 0.000e+00}, {-5.362e-03, -1.377e-03}, {0.000e+00, -0.000e+00}, {-1.845e-03, 1.782e-18}, {-5.702e-04, 1.755e-03}, {0.000e+00, 0.000e+00}, {-3.476e-04, 5.525e-03}, {-5.939e-03, 4.315e-03}, {3.789e-03, 4.035e-03}, {5.009e-03, 2.357e-03}, {2.301e-03, -7.082e-03}, {-5.437e-03, -1.037e-03}, {-5.437e-03, 1.037e-03}, {2.268e-03, 6.982e-03}, {3.789e-03, -4.035e-03}, {-5.939e-03, -4.315e-03}, {2.268e-03, -6.982e-03}, {-5.437e-03, -1.037e-03}, {-5.437e-03, 1.037e-03}, {2.301e-03, 7.082e-03}, {5.009e-03, -2.357e-03}, {-2.966e-03, 4.674e-03}, {8.188e-19, 3.853e-19}, {-5.673e-04, 1.746e-03}, {-0.000e+00, -0.000e+00}, {-3.476e-04, -5.525e-03}, {-8.958e-19, 1.709e-19}, {-5.702e-04, -1.755e-03}, {-1.845e-03, -2.008e-18}, {-0.000e+00, -0.000e+00}, {-5.362e-03, 1.377e-03}, {-4.393e-19, -7.992e-19}, {1.485e-03, -1.079e-03}, {0.000e+00, 0.000e+00}, {3.528e-03, -4.265e-03}, {9.338e-02, -8.955e-02}, {-1.260e-01, -1.720e-03}, {-2.246e-01, -1.973e-01}, {-1.343e-01, 6.502e-02}, {1.036e-01, -2.749e-01}, {1.404e-02, 3.606e-03}, {8.479e-04, -6.712e-03}, {0.000e+00, -0.000e+00}, {8.479e-04, 6.712e-03}, {1.404e-02, -3.606e-03}, {-0.000e+00, 0.000e+00}, {-3.259e-03, -5.928e-03}, {0.000e+00, -0.000e+00}, {-8.025e-03, -8.546e-03}, {-7.770e-03, 1.224e-02}, {1.061e-02, 4.991e-03}, {1.061e-02, -4.991e-03}, {-7.770e-03, -1.224e-02}, {-8.025e-03, 8.546e-03}, {-0.000e+00, -0.000e+00}, {-3.259e-03, 5.928e-03}, {0.000e+00, 0.000e+00}, {0.000e+00, -0.000e+00}, {-2.091e-03, -6.434e-03}, {0.000e+00, 0.000e+00}, {-6.282e-03, -9.898e-03}, {2.491e-03, 3.011e-03}, {0.000e+00, 0.000e+00}, {-5.473e-03, -3.976e-03}, {-9.343e-03, 1.699e-02}, {3.785e-03, 9.718e-04}, {-0.000e+00, 0.000e+00}, {1.172e-02, -1.132e-17}, {-3.623e-03, 1.115e-02}, {1.905e-02, 3.634e-03}, {7.361e-04, -1.170e-02}, {-1.173e-02, 8.523e-03}, {8.025e-03, 8.546e-03}, {3.536e-03, 1.664e-03}, {0.000e+00, -0.000e+00}, {1.152e-02, 2.197e-03}, {3.838e-03, -7.322e-04}, 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6.324e-03}, {-0.000e+00, -0.000e+00}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {-2.951e-19, 2.409e-03}, {-7.745e-19, 6.324e-03}, {-2.951e-19, 2.409e-03}, {2.951e-19, -2.409e-03}, {7.745e-19, -6.324e-03}, {2.951e-19, -2.409e-03}, {0.000e+00, -0.000e+00}, {1.080e-19, -8.821e-04}, {0.000e+00, -0.000e+00}, {-0.000e+00, 0.000e+00}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {-2.951e-19, 2.409e-03}, {2.951e-19, -2.409e-03}, {0.000e+00, 0.000e+00}, {1.080e-19, -8.821e-04}, {0.000e+00, 0.000e+00}, {-2.951e-19, 2.409e-03}, {0.000e+00, -0.000e+00}, {2.951e-19, -2.409e-03}, {-2.951e-19, 2.409e-03}, {0.000e+00, -0.000e+00}, {2.951e-19, -2.409e-03}, {-7.745e-19, 6.324e-03}, {-2.951e-19, 2.409e-03}, {-2.951e-19, 2.409e-03}, {0.000e+00, 0.000e+00}, {2.951e-19, -2.409e-03}, {2.951e-19, -2.409e-03}, {7.745e-19, -6.324e-03}, {2.951e-19, -2.409e-03}, {7.745e-19, -6.324e-03}, {-7.745e-19, 6.324e-03}, {-2.951e-19, 2.409e-03}, {-2.951e-19, 2.409e-03}, {-0.000e+00, 0.000e+00}, {2.951e-19, -2.409e-03}, {2.951e-19, -2.409e-03}, {-0.000e+00, -0.000e+00}, {1.080e-19, -8.821e-04}, {-0.000e+00, 0.000e+00}, {-2.951e-19, 2.409e-03}, {-1.005e-34, 8.209e-19}, {2.951e-19, -2.409e-03}, {-2.951e-19, 2.409e-03}, {0.000e+00, -0.000e+00}, {2.951e-19, -2.409e-03}, {1.005e-34, -8.209e-19}, {-1.080e-19, 8.821e-04}, {0.000e+00, -0.000e+00}, {-2.951e-19, 2.409e-03}, {-1.451e-03, 1.616e-02}, {-2.251e-04, -1.978e-02}, {-4.633e-02, -1.859e-02}, {-9.582e-03, -6.154e-03}, {-2.380e-02, 2.250e-02}, {-1.423e-34, 1.162e-18}, {-1.984e-35, 1.620e-19}, {0.000e+00, 0.000e+00}, {-6.615e-36, 5.401e-20}, {-4.742e-35, 3.872e-19}, {-1.508e-34, 1.231e-18}, {-1.984e-35, 1.620e-19}, {0.000e+00, 0.000e+00}, {-6.023e-36, 4.918e-20}, {-1.423e-34, 1.162e-18}, {-1.807e-35, 1.475e-19}, {-6.023e-36, 4.918e-20}, {-4.742e-35, 3.872e-19}, {-1.807e-35, 1.475e-19}, {0.000e+00, 0.000e+00}, {-6.615e-36, 5.401e-20}, {-5.027e-35, 4.105e-19}, {0.000e+00, -0.000e+00}, {-6.615e-36, 5.401e-20}, {-4.286e-19, 3.500e-03}, {-1.180e-18, 9.638e-03}, {-3.934e-19, 3.213e-03}, {0.000e+00, -0.000e+00}, {-6.615e-36, 5.401e-20}, {-4.105e-19, 3.352e-03}, {-3.934e-19, 3.213e-03}, {0.000e+00, -0.000e+00}, {1.582e-35, -1.292e-19}, {-6.023e-36, 4.918e-20}, {-4.105e-19, 3.352e-03}, {-1.180e-18, 9.638e-03}, {-4.742e-35, 3.872e-19}, {-1.180e-18, 9.638e-03}, {3.934e-19, -3.213e-03}, {1.320e-34, -1.078e-18}, {-1.180e-18, 9.638e-03}, {3.934e-19, -3.213e-03}, {-4.742e-35, 3.872e-19}, {1.180e-18, -9.638e-03}, {2.371e-34, -1.936e-18}, {2.371e-34, -1.936e-18}, {-3.934e-19, 3.213e-03}, {1.180e-18, -9.638e-03}, {2.513e-34, -2.052e-18}, {-3.934e-19, 3.213e-03}, {1.180e-18, -9.638e-03}, {4.286e-19, -3.500e-03}, {3.307e-35, -2.701e-19}, {0.000e+00, -0.000e+00}, {1.180e-18, -9.638e-03}, {4.105e-19, -3.352e-03}, {3.011e-35, -2.459e-19}, {3.011e-35, -2.459e-19}, {0.000e+00, -0.000e+00}, {3.934e-19, -3.213e-03}, {4.105e-19, -3.352e-03}, {3.307e-35, -2.701e-19}, {0.000e+00, -0.000e+00}, {3.934e-19, -3.213e-03}, {-1.178e-02, 6.280e-03}, {9.952e-04, 3.532e-03}, {-1.995e-03, -2.307e-03}, {-2.027e-03, 5.705e-03}, {-3.328e-02, -2.949e-02}, {-7.745e-19, 6.324e-03}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {1.080e-19, -8.821e-04}, {7.745e-19, -6.324e-03}, {-8.209e-19, 6.703e-03}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {9.836e-20, -8.031e-04}, {-7.745e-19, 6.324e-03}, {-9.836e-20, 8.031e-04}, {9.836e-20, -8.031e-04}, {7.745e-19, -6.324e-03}, {-9.836e-20, 8.031e-04}, {0.000e+00, -0.000e+00}, {1.080e-19, -8.821e-04}, {8.209e-19, -6.703e-03}, {-0.000e+00, 0.000e+00}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {8.852e-19, -7.228e-03}, {-2.951e-19, 2.409e-03}, {-0.000e+00, 0.000e+00}, {-1.080e-19, 8.821e-04}, {0.000e+00, 0.000e+00}, {-2.951e-19, 2.409e-03}, {-0.000e+00, 0.000e+00}, {-9.836e-20, 8.031e-04}, {-9.836e-20, 8.031e-04}, {0.000e+00, -0.000e+00}, {8.852e-19, -7.228e-03}, {-7.745e-19, 6.324e-03}, {-8.852e-19, 7.228e-03}, {-2.951e-19, 2.409e-03}, {-8.209e-19, 6.703e-03}, {-8.852e-19, 7.228e-03}, {-2.951e-19, 2.409e-03}, {-7.745e-19, 6.324e-03}, {8.852e-19, -7.228e-03}, {7.745e-19, -6.324e-03}, {7.745e-19, -6.324e-03}, {2.951e-19, -2.409e-03}, {8.852e-19, -7.228e-03}, {8.209e-19, -6.703e-03}, {2.951e-19, -2.409e-03}, {-8.852e-19, 7.228e-03}, {-1.050e-34, 8.572e-19}, {1.080e-19, -8.821e-04}, {0.000e+00, -0.000e+00}, {-8.852e-19, 7.228e-03}, {-1.005e-34, 8.209e-19}, {9.836e-20, -8.031e-04}, {9.836e-20, -8.031e-04}, {0.000e+00, -0.000e+00}, {2.951e-19, -2.409e-03}, {-1.005e-34, 8.209e-19}, {1.080e-19, -8.821e-04}, {0.000e+00, -0.000e+00}, {2.951e-19, -2.409e-03}, {-6.016e-03, 1.132e-02}, {1.099e-03, 6.470e-04}, {-6.027e-04, 5.554e-05}, {3.818e-03, -1.239e-02}, {-4.559e-03, -1.001e-07},};

    std::vector<std::complex<double>> vkb1 = {{6.911e-310, 6.911e-310}, {4.685e-310, 4.685e-310}, {2.389e-01, -1.638e-01}, {9.056e-04, 2.439e-01}, {9.507e-02, -1.098e-01}, {1.563e-01, 8.549e-02}, {-1.803e-01, 1.119e-01}, {-1.637e-01, -1.412e-01}, {1.838e-02, -1.067e-01}, {3.730e-01, 7.526e-02}, {4.609e-02, -2.936e-01}, {2.290e-01, -2.534e-01}, {-2.362e-01, 1.549e-01}, {2.475e-01, 8.402e-02}, {2.113e-01, 2.409e-01}, {-5.171e-01, 1.734e-01}, {2.104e-01, 4.754e-02}, {2.490e-01, 3.166e-01}, {2.758e-01, 2.124e-01}, {-2.141e-01, 3.552e-02}, {-1.251e-01, 4.322e-01}, {-3.643e-01, -7.918e-02}, {3.385e-01, -3.348e-01}, {-5.045e-02, -1.131e-02}, {-3.523e-01, -1.618e-01}, {-1.378e-01, -1.525e-02}, {-7.878e-02, 1.084e-01}, {3.519e-01, 1.203e-01}, {-1.061e-01, -1.315e-01}, {1.058e-01, -1.909e-01}, {2.600e-01, 1.296e-01}, {2.500e-02, 1.183e-01}, {2.902e-02, 8.398e-04}, {-2.243e-01, -7.449e-02}, {1.476e-01, 2.746e-01}, {2.664e-01, -2.860e-01}, {9.548e-02, 1.963e-02}, {2.217e-01, -2.126e-02}, {-2.701e-01, 5.026e-01}, {-3.345e-01, -3.753e-02}, {4.186e-02, -4.011e-01}, {-3.422e-02, -2.438e-01}, {-3.167e-01, -1.586e-01}, {1.727e-01, 3.260e-02}, {1.035e-01, 2.405e-01}, {-1.161e-01, 7.219e-02}, {-7.716e-03, -2.670e-01}, {-1.423e-01, 8.530e-03}, {2.862e-01, -1.094e-01}, {-5.559e-02, -5.455e-02}, {-3.416e-01, 6.757e-02}, {5.929e-02, -2.052e-01}, {-4.659e-02, 3.850e-01}, {2.658e-01, -2.491e-01}, {5.260e-02, -1.420e-01}, {2.239e-01, 9.199e-02}, {-3.554e-01, 1.005e-01}, {-2.402e-01, -2.579e-01}, {-3.286e-01, -3.873e-01}, {-2.824e-01, 3.011e-02}, {-1.219e-01, -2.887e-01}, {3.144e-01, 1.825e-01}, {-4.745e-02, 1.205e-03}, {-3.290e-01, -7.122e-02}, {1.788e-02, -2.402e-01}, {-2.917e-02, -2.128e-02}, {1.008e-01, -3.334e-02}, {1.721e-01, -3.353e-01}, {-1.347e-01, 2.509e-01}, {2.114e-01, 9.542e-02}, {-7.339e-02, 3.620e-01}, {1.513e-01, -3.516e-02}, {-9.669e-03, -4.003e-01}, {-2.808e-02, -7.164e-02}, {-6.090e-01, -6.807e-02}, {-3.105e-01, -4.069e-01}, {1.432e-01, -3.966e-01}, {-2.003e-01, 3.136e-01}, {9.200e-02, -6.274e-02}, {-1.400e-01, 4.541e-01}, {-8.834e-02, -2.280e-01}, {-6.165e-03, -2.281e-02}, {-2.976e-01, 3.261e-01}, {2.261e-01, -3.231e-01}, {2.548e-01, -1.069e-02}, {1.029e-01, -2.767e-01}, {-9.407e-02, -3.367e-02}, {2.232e-01, -6.412e-02}, {-2.396e-02, 2.083e-01}, {-2.019e-01, 9.567e-02}, {-1.762e-01, -3.879e-01}, {4.722e-02, -1.477e-01}, {-3.098e-01, 3.376e-01}, {-3.788e-02, -6.730e-02}, {2.707e-01, -1.793e-01}, {2.587e-01, -7.135e-02}, {-1.203e-02, 3.412e-01}, {-2.885e-01, 2.554e-01}, {-3.994e-02, -1.459e-01}, {1.718e-01, 2.413e-01}, {-2.923e-01, 3.850e-01}, {3.313e-01, -1.761e-01}, {1.399e-01, -7.839e-02}, {2.201e-02, -1.771e-01}, {1.358e-01, 2.527e-02}, {-6.738e-03, 7.466e-02}, {1.620e-01, -5.757e-02}, {-2.525e-01, -4.837e-02}, {5.352e-02, 2.303e-01}, {1.608e-01, 9.118e-02}, {1.423e-01, -6.082e-02}, {2.571e-01, -1.610e-01}, {-4.938e-02, -1.321e-01}, {1.962e-02, -9.255e-03}, {-2.428e-01, 2.347e-01}, {-2.741e-01, 2.850e-01}, {1.480e-01, -4.344e-02}, {6.805e-02, 3.078e-01}, {3.956e-02, -5.979e-02}, {5.798e-02, -2.035e-02}, {2.513e-01, -3.282e-02}, {6.119e-02, 1.386e-02}, {1.742e-01, 6.346e-02}, {-2.568e-01, 6.295e-02}, {-6.861e-02, -6.757e-02}, {9.988e-02, -6.012e-02}, {2.471e-01, 1.142e-01}, {-2.187e-01, -8.632e-02}, {2.730e-02, -2.541e-01}, {1.286e-01, -4.256e-01}, {1.995e-01, -2.125e-02}, {-1.719e-01, -7.724e-02}, {1.015e-01, 4.118e-01}, {-4.479e-01, 4.938e-01}, {1.984e-01, -3.389e-02}, {-6.072e-02, 2.170e-03}, {-1.384e-01, 4.803e-02}, {9.010e-03, -2.891e-01}, {5.083e-01, -2.931e-01}, {-1.573e-01, 1.248e-01}, {-4.304e-01, -1.693e-02}, {-1.032e-01, 1.162e-02}, {-5.870e-02, 2.625e-01}, {1.888e-01, -1.504e-01}, {1.329e-01, -1.626e-01}, {1.502e-01, -2.364e-01}, {2.758e-01, -1.144e-01}, {1.403e-01, -1.128e-01}, {3.083e-02, 1.296e-01}, {4.208e-02, -7.019e-02}, {9.295e-03, 2.658e-01}, {-1.490e-01, 2.056e-01}, {-6.014e-02, 3.239e-02}, {-2.125e-02, 2.841e-01}, {-1.790e-01, -1.170e-01}, {3.963e-01, -3.147e-01}, {1.647e-01, -1.502e-01}, {4.649e-02, 1.872e-01}, {-1.569e-01, 3.042e-01}, {-1.768e-01, -2.714e-02}, {-1.488e-01, 8.018e-02}, {-4.000e-01, -8.645e-02}, {2.446e-01, 7.116e-02}, {2.036e-01, -2.940e-01}, {3.413e-01, -2.566e-01}, {-6.861e-02, -5.560e-02}, {2.381e-01, -1.362e-01}, {-1.328e-01, 1.991e-01}, {-2.385e-01, -1.098e-01}, {2.950e-02, 1.833e-01}, {-7.214e-02, 2.471e-01}, {-1.212e-01, 1.959e-01}, {1.016e-02, -4.479e-01}, {3.209e-01, -2.228e-02}, {8.781e-02, 2.718e-01}, {2.612e-01, 7.604e-02}, {2.878e-02, -1.390e-03}, {-4.463e-01, -2.647e-02}, {-2.003e-01, 7.655e-02}, {-1.391e-01, 3.763e-01}, {1.707e-01, -3.319e-01}, {1.128e-01, -4.130e-01}, {-2.831e-03, 1.295e-01}, {-1.067e-01, 2.400e-02}, {1.888e-01, 8.836e-03}, {1.485e-01, -2.078e-01}, {5.988e-02, 1.589e-01}, {4.202e-03, 1.393e-01}, {-1.413e-01, 1.252e-01}, {-1.313e-01, -3.346e-01}, {1.673e-02, -1.363e-01}, {5.123e-02, 8.462e-02}, {4.654e-03, -8.566e-02}, {-1.685e-01, 1.078e-01}, {-2.529e-01, -1.824e-01}, {-1.304e-02, 2.760e-01}, {-1.382e-01, 2.776e-01}, {-9.593e-02, 6.669e-02}, {2.395e-01, -1.689e-01}, {2.592e-01, 4.345e-02}, {1.968e-01, -1.347e-01}, {2.291e-01, 4.352e-01}, {-2.678e-01, 1.577e-01}, {5.107e-01, -2.012e-01}, {4.473e-02, 3.572e-01}, {-1.963e-02, -1.244e-01}, {2.000e-02, -1.570e-01}, {1.535e-01, -1.065e-01}, {1.268e-01, -1.611e-01}, {8.060e-02, -1.188e-01}, {-3.714e-01, -2.305e-01}, {-8.902e-02, 2.548e-01}, {-8.849e-02, 2.013e-01}, {-1.121e-01, 1.350e-01}, {-1.930e-01, 1.295e-02}, {-2.981e-01, 2.269e-01}, {-3.902e-01, -2.951e-01}, {-1.612e-01, -1.752e-01}, {-3.936e-01, 9.321e-02}, {-2.968e-01, -4.936e-01}, {1.611e-01, 1.707e-01}, {-4.065e-01, 3.417e-01}, {4.152e-02, 1.915e-01}, {-4.597e-01, 8.599e-02}, {1.545e-02, -3.478e-02}, {7.709e-02, -1.218e-01}, {1.645e-01, -3.030e-01}, {3.473e-01, -2.500e-01}, {1.416e-01, 2.716e-01}, {2.550e-01, -4.261e-01}, {-5.129e-03, -9.338e-02}, {1.573e-01, 1.877e-01}, {3.097e-01, 3.783e-01}, {1.827e-01, 2.127e-01}, {-3.006e-01, -1.719e-01}, {-2.662e-02, -1.419e-01}, {-1.620e-01, 1.465e-01}, 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-1.628e-03}, {-1.786e-03, 9.257e-04}, {2.011e-04, 6.057e-04}, {2.752e-02, -5.938e-03}, {-6.068e-03, 4.688e-02}, {-9.542e-03, -1.432e-02}, {1.357e-03, 2.340e-03}, {-2.794e-05, 8.000e-04}, {4.954e-04, -1.207e-04}, {2.387e-02, -9.020e-03}, {1.017e-02, -1.040e-02}, {-2.235e-02, -4.363e-02}, {8.766e-03, -7.371e-03}, {1.269e-02, -1.035e-02}, {-7.763e-03, -1.871e-02}, {-4.554e-03, -2.836e-04}, {6.900e-03, -1.990e-02}, {1.069e-02, 3.070e-02}, {-3.924e-03, 4.465e-03}, {5.196e-03, -4.696e-03}, {2.614e-03, 2.425e-03}, {-2.952e-03, -1.881e-03}, {-1.403e-03, 4.627e-02}, {-1.684e-02, 1.725e-02}, {-3.759e-02, -2.540e-02}, {1.615e-02, 4.263e-13}, {-3.129e-12, 2.419e-12}, {1.160e-02, 1.797e-03}, {-4.646e-02, -3.235e-03}, {5.268e-03, -9.780e-03}, {-4.554e-03, -2.199e-02}, {-3.738e-02, -9.956e-04}, {-1.020e-02, 1.835e-02}, {-9.396e-07, -9.007e-07}, {1.283e-06, 2.405e-02}, {-1.206e-02, -4.253e-02}, {3.550e-02, -1.087e-02}, {-1.968e-02, -6.528e-03}, {-2.605e-03, -2.217e-03}, {-5.238e-03, 1.860e-03}, {1.609e-03, 5.008e-02}, {-7.569e-03, 7.507e-03}, {-1.012e-02, -3.673e-02}, {-1.309e-02, 1.286e-03}, {-3.646e-04, 1.224e-04}, {1.355e-04, 3.377e-04}, {-3.987e-04, 1.567e-02}, {3.342e-02, -3.194e-02}, {-2.199e-03, 3.334e-04}, {2.006e-03, -1.922e-07}, {-6.728e-07, 2.295e-06}, {1.846e-03, 1.081e-02}, {-4.885e-02, 1.168e-02}, {4.126e-03, -1.214e-02}, {4.603e-02, 8.783e-03}, {-2.551e-03, -2.526e-02}, {1.269e-02, 1.255e-02}, {-6.271e-04, 4.970e-03}, {-5.032e-03, 3.008e-02}, {2.198e-02, -8.956e-03}, {-6.598e-03, -1.157e-03}, {6.481e-03, 4.485e-02}, {-1.268e-02, -1.615e-02}, {4.398e-04, 1.972e-04}, {-1.815e-04, -7.053e-03}, {9.616e-03, -7.083e-03}, {1.217e-02, -2.923e-02}, {2.574e-02, -2.071e-03}, {4.827e-03, -7.692e-03}, {1.338e-03, 2.083e-02}, {-1.768e-02, 1.476e-02}, {1.817e-02, -1.900e-03}, {1.480e-03, 8.797e-04}, {6.982e-04, -1.676e-02}, {-1.499e-02, -1.524e-02}, {4.224e-02, 1.931e-02}, {8.760e-03, -9.759e-03}, {2.852e-02, 1.815e-02}, {-2.711e-05, 1.424e-05}, {7.519e-06, -8.546e-04}, {1.395e-03, 2.340e-03}, {2.065e-02, -5.778e-03}, {4.347e-02, -2.683e-03}, {8.110e-04, -2.191e-03}, {2.741e-02, -2.073e-02}, {2.494e-02, -3.247e-05}, {1.309e-04, -5.791e-05}, {2.155e-03, 5.518e-02}, {-5.677e-03, 2.617e-04}, {4.801e-04, 1.796e-04}, {-1.728e-02, -1.657e-02}, {-1.872e-02, 3.803e-03}, {7.954e-04, 2.160e-03}, {1.097e-02, -1.972e-03}, {9.224e-03, -9.539e-03}, {-4.339e-02, 3.597e-03}, {-4.103e-02, 2.608e-02}, {-1.149e-02, -1.416e-02}, {-2.878e-02, 3.390e-02}, {9.013e-04, -4.829e-02}, {-9.399e-03, -1.709e-02}, {4.189e-03, -2.356e-02}, {2.377e-02, -2.484e-02}, {2.334e-02, -4.691e-05}, {-1.324e-03, -7.310e-05}, {9.552e-04, -4.357e-03}, {-1.589e-04, -9.328e-03}, {-2.805e-02, -4.237e-02}, {3.024e-03, 1.583e-02}, {3.360e-03, 9.328e-05}, {7.048e-04, 1.011e-03}, {-2.195e-02, -3.354e-02}, {-1.450e-03, 1.874e-06}, {-2.681e-06, 3.403e-06}, {-3.250e-02, 1.934e-02}, {-3.045e-02, 1.122e-02}, {-1.097e-02, -5.279e-03}, {-1.114e-04, 1.659e-03}, {-1.261e-03, -1.115e-02}, {2.440e-02, -8.709e-03}, {-1.210e-03, 1.682e-03}, {-9.256e-04, -5.113e-04}, {-9.379e-05, 3.526e-04}, {1.860e-03, 1.442e-03}, {5.548e-04, 2.588e-02}, {3.608e-02, 3.051e-03}, {2.556e-02, 1.657e-02}, {3.695e-02, -3.065e-02}, {9.417e-04, -1.015e-03}, {-1.189e-02, 5.519e-03}, {2.253e-02, -5.232e-03}, {-4.234e-03, 2.859e-02}, {-2.269e-05, 6.600e-06}, {-1.513e-05, 3.073e-02}, {4.678e-03, 3.499e-02}, {-5.014e-03, 4.038e-02}, {-2.677e-02, -1.592e-02}, {4.190e-02, -2.532e-02}, {-3.929e-05, 2.195e-04}, {5.786e-05, -1.244e-03}, {1.945e-03, 7.916e-04}, {-2.151e-02, 2.406e-02}, {3.448e-03, 1.567e-02}, {-4.422e-02, 1.722e-02}, {9.116e-03, -1.546e-02}, {2.648e-03, 2.573e-03}, {2.151e-03, -5.615e-03}, {1.574e-02, -3.271e-02}, {-2.281e-03, 2.539e-03}, {-4.155e-02, -2.614e-02}, {-2.344e-03, 9.599e-04}, {-4.204e-04, -1.885e-04}, {-4.200e-04, 4.731e-04}, {-5.650e-05, -6.422e-05}, {-1.082e-05, 3.902e-03}, {2.041e-02, -3.760e-03}, {2.682e-02, -3.958e-02}, {-8.263e-03, -5.999e-03}, {-3.630e-03, -1.464e-03}, {-4.310e-02, 1.913e-02}, {9.527e-03, -2.921e-03}, {3.737e-03, 5.029e-03}, {3.034e-02, -7.782e-03}, {3.125e-03, -1.872e-03}, {-8.597e-03, -1.899e-02}, {1.860e-02, -8.354e-03}, {-1.542e-02, 5.862e-03}, {1.710e-03, -2.342e-04}, {-5.599e-04, -5.250e-04}, {2.519e-04, -8.932e-07}, {-9.498e-07, 1.725e-06}, {-2.340e-04, 2.013e-03}, {-8.207e-04, 4.920e-05}, {-1.239e-06, -3.451e-05}, {4.693e-04, 8.777e-04}, {2.529e-04, 3.560e-03}, {7.304e-03, -3.768e-03}, {1.695e-05, 4.578e-05}, {-4.246e-05, 1.533e-03}, {4.269e-03, 1.308e-03}, {-2.108e-02, 1.369e-02}, {3.573e-02, -1.082e-03}, {4.396e-04, 4.443e-04}, {4.512e-05, 2.268e-04}, {1.189e-04, -2.676e-02}, {1.116e-02, -7.750e-03}, {-1.703e-02, -3.412e-02}, {2.697e-02, 4.463e-02}, {1.772e-02, -6.522e-03}, {5.681e-06, 1.580e-05}, {-2.248e-05, 3.318e-02}, {3.538e-02, -1.304e-02}, {-3.538e-03, 1.874e-02}, {-4.572e-02, 3.677e-03}, {3.948e-04, -7.312e-03}, {3.239e-02, -6.310e-03}, {-3.573e-02, 1.553e-03}, {-8.838e-04, 1.323e-04}, {-9.601e-04, -2.845e-02}, {-1.522e-02, 9.710e-03}, {-2.513e-02, -1.839e-02}, {3.871e-04, -2.098e-04}, {-1.581e-04, -4.417e-04}, {2.005e-04, -2.705e-03}, {2.278e-02, 1.257e-02}, {1.087e-03, 2.643e-04}, {1.667e-04, -3.036e-04}, {4.967e-05, 7.528e-05}, {-1.739e-05, 5.559e-03}, {3.620e-02, 1.103e-02}, {5.543e-03, 4.990e-03}, {2.014e-02, -9.232e-04}, {3.333e-03, -1.478e-03}, {1.961e-02, 2.371e-04}, {-3.860e-02, 1.509e-02}, {1.039e-03, -3.219e-02}, {4.943e-03, 4.719e-03}, {-4.475e-03, 3.353e-02}, {-4.797e-03, -5.278e-03}, {2.663e-03, -1.168e-03}, {-1.451e-03, 1.616e-02}, {-2.251e-04, -1.978e-02}, {-4.633e-02, -1.859e-02}, {-9.582e-03, -6.154e-03}, {-2.380e-02, 2.250e-02}, {-9.133e-03, -1.237e-02}, {1.116e-02, -1.055e-02}, {-1.880e-02, -1.691e-03}, {2.333e-02, -7.701e-03}, {-2.989e-02, 6.085e-03}, {-4.192e-03, -5.167e-02}, {3.402e-04, 4.862e-05}, {5.423e-04, -1.614e-02}, {1.937e-02, 4.194e-02}, {-1.322e-02, 5.622e-03}, {8.189e-03, -6.086e-03}, {-2.718e-03, -3.209e-03}, {3.897e-02, -4.332e-03}, {-7.762e-04, 1.573e-02}, {2.911e-02, -2.402e-04}, {-4.097e-02, 1.732e-02}, {-9.069e-04, 2.511e-05}, {6.751e-05, 1.817e-04}, {-3.509e-04, 2.127e-04}, {4.993e-05, -3.701e-03}, {1.840e-02, 4.620e-02}, {3.057e-03, 6.623e-03}, {-4.013e-02, 1.613e-03}, {1.017e-03, 6.766e-03}, {-5.570e-04, -1.966e-05}, {3.730e-03, 6.671e-03}, {-9.989e-04, -5.103e-03}, {-1.256e-04, -1.762e-05}, {-2.210e-05, -9.938e-03}, {1.796e-03, 3.162e-03}, {2.203e-02, 7.351e-03}, {8.716e-03, -4.605e-03}, {1.518e-02, -3.097e-02}, {4.975e-02, 2.306e-03}, {-5.378e-03, 1.983e-02}, {2.540e-04, 2.113e-03}, {-4.197e-02, 8.759e-03}, {-1.871e-02, -9.956e-07}, {1.992e-06, -3.120e-06}, {6.441e-04, 1.174e-03}, {-2.510e-06, 6.845e-07}, {-4.707e-07, 9.323e-06}, {1.034e-03, 2.050e-03}, {-3.144e-03, 1.500e-02}, {8.773e-03, -7.925e-03}, {-1.109e-03, -3.317e-04}, {2.394e-04, -2.282e-03}, {-5.155e-03, 6.147e-03}, {1.441e-02, 3.825e-03}, {1.318e-03, -1.534e-02}, {3.804e-03, -1.229e-02}, {4.603e-02, -1.227e-02}, {6.115e-03, 8.203e-06}, {-1.122e-05, -8.572e-06}, {1.236e-03, -6.661e-03}, {3.569e-03, -3.456e-03}, {4.086e-03, -6.139e-03}, {2.358e-02, -1.613e-02}, {2.080e-02, 5.319e-04}, {-1.178e-02, 6.280e-03}, {9.952e-04, 3.532e-03}, {-1.995e-03, -2.307e-03}, {-2.027e-03, 5.705e-03}, {-3.328e-02, -2.949e-02}, {-9.358e-03, 4.598e-02}, {6.011e-03, 1.671e-02}, {-4.258e-04, 2.276e-04}, {-1.668e-04, -2.512e-02}, {-4.258e-03, 9.859e-03}, {-2.001e-02, 3.685e-02}, {6.980e-03, -3.181e-03}, {-6.361e-03, 3.394e-03}, {7.655e-05, -3.922e-04}, {3.863e-04, -1.851e-02}, {1.670e-02, -4.370e-02}, {1.611e-02, -2.146e-02}, {2.082e-02, -7.913e-04}, {-6.217e-03, 4.265e-04}, {-1.919e-03, -1.232e-02}, {3.706e-03, -4.354e-02}, {-2.784e-02, -3.185e-03}, {8.169e-03, 1.889e-02}, {4.060e-03, 3.641e-04}, {2.122e-04, -4.368e-05}, {-5.809e-03, -3.219e-02}, {-2.629e-02, 2.907e-03}, {-1.829e-03, 1.992e-03}, {-1.108e-02, 1.074e-02}, {-8.515e-03, -1.513e-03}, {-4.802e-03, 1.872e-02}, {-6.943e-03, 2.025e-02}, {-3.718e-03, -1.118e-02}, {2.894e-02, -1.991e-02}, {-2.536e-03, 1.383e-03}, {-2.507e-03, 2.508e-04}, {-7.698e-04, 1.713e-05}, {2.109e-02, 4.972e-03}, {2.094e-02, 1.452e-04}, {1.870e-03, 2.505e-04}, {1.099e-02, 3.096e-02}, {4.175e-03, -3.216e-02}, {-2.367e-03, -4.028e-02}, {5.295e-04, -1.166e-04}, {2.933e-04, 1.693e-04}, {-1.267e-04, 1.365e-04}, {-8.252e-03, -2.153e-03}, {-1.173e-02, 5.185e-03}, {-4.529e-04, 3.517e-03}, {-5.104e-03, 2.571e-02}, {-1.181e-02, -1.238e-02}, {2.645e-02, -1.101e-02}, {-1.322e-02, 4.386e-02}, {-7.576e-03, 1.611e-02}, {4.830e-02, 1.186e-02}, {8.798e-03, 6.187e-03}, {-3.074e-03, 6.677e-05}, {-4.919e-04, -4.257e-04}, {-3.474e-04, -7.207e-04}, {2.831e-04, -1.757e-02}, {2.374e-02, 6.640e-03}, {-2.099e-02, 2.425e-02}, {4.046e-02, -4.528e-03}, {-5.152e-03, 4.303e-03}, {-6.016e-03, 1.132e-02}, {1.099e-03, 6.470e-04}, {-6.027e-04, 5.554e-05}, {3.818e-03, -1.239e-02}, {-4.559e-03, -1.001e-07}};

    std::vector<double> gcar = {-1.876e-01, 1.876e-01, -1.876e-01, -9.381e-02, 9.381e-02, -9.381e-02, 0.000e+00, 0.000e+00, 0.000e+00, 9.381e-02, -9.381e-02, 9.381e-02, 1.876e-01, -1.876e-01, 1.876e-01, -1.876e-01, 1.876e-01, 0.000e+00, -9.381e-02, 9.381e-02, 9.381e-02, 0.000e+00, 0.000e+00, 1.876e-01, 9.381e-02, -9.381e-02, 2.814e-01, -1.876e-01, 1.876e-01, 1.876e-01, -9.381e-02, 9.381e-02, 2.814e-01, 9.381e-02, -9.381e-02, -2.814e-01, 1.876e-01, -1.876e-01, -1.876e-01, -9.381e-02, 9.381e-02, -2.814e-01, 0.000e+00, 0.000e+00, -1.876e-01, 9.381e-02, -9.381e-02, -9.381e-02, 1.876e-01, -1.876e-01, 0.000e+00, 0.000e+00, 1.876e-01, -1.876e-01, 9.381e-02, 9.381e-02, -9.381e-02, 1.876e-01, 0.000e+00, 0.000e+00, 2.814e-01, -9.381e-02, 9.381e-02, -9.381e-02, 2.814e-01, -9.381e-02, 0.000e+00, 1.876e-01, 0.000e+00, 9.381e-02, 9.381e-02, 9.381e-02, 1.876e-01, 0.000e+00, 1.876e-01, -9.381e-02, 2.814e-01, 9.381e-02, 0.000e+00, 1.876e-01, 1.876e-01, 9.381e-02, 9.381e-02, 2.814e-01, 9.381e-02, 9.381e-02, -2.814e-01, 1.876e-01, 0.000e+00, -1.876e-01, 2.814e-01, -9.381e-02, -9.381e-02, 1.876e-01, 1.876e-01, -1.876e-01, 2.814e-01, 9.381e-02, -9.381e-02, 9.381e-02, 2.814e-01, -9.381e-02, 1.876e-01, 1.876e-01, 0.000e+00, 2.814e-01, 9.381e-02, 9.381e-02, 9.381e-02, 2.814e-01, 9.381e-02, 1.876e-01, 1.876e-01, 1.876e-01, -2.814e-01, -9.381e-02, 9.381e-02, -1.876e-01, -1.876e-01, 1.876e-01, -1.876e-01, -1.876e-01, -1.876e-01, -9.381e-02, -2.814e-01, -9.381e-02, -2.814e-01, -9.381e-02, -9.381e-02, -1.876e-01, -1.876e-01, 0.000e+00, -9.381e-02, -2.814e-01, 9.381e-02, -2.814e-01, 9.381e-02, -9.381e-02, -1.876e-01, 0.000e+00, 0.000e+00, -9.381e-02, -9.381e-02, 9.381e-02, 0.000e+00, -1.876e-01, 1.876e-01, -2.814e-01, 9.381e-02, 9.381e-02, -1.876e-01, 0.000e+00, 1.876e-01, -9.381e-02, -9.381e-02, 2.814e-01, -9.381e-02, -9.381e-02, -2.814e-01, 0.000e+00, -1.876e-01, -1.876e-01, 9.381e-02, -2.814e-01, -9.381e-02, -1.876e-01, 0.000e+00, -1.876e-01, -9.381e-02, -9.381e-02, -9.381e-02, 0.000e+00, -1.876e-01, 0.000e+00, 9.381e-02, -2.814e-01, 9.381e-02};
    std::vector<double> wg = {2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 1.163e-01, 1.220e-03, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 7.384e-12, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 1.506e-04, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 1.198e-14, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 3.053e-16, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 4.620e-14, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 6.202e-13, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 2.500e-01, 1.974e-01, 1.850e-01, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00};
    std::vector<double> ekb
        = {0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00,
           0.000e+00, 0.000e+00};
    std::vector<double> qq_nt
        = {1.661e+01,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  1.750e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  9.860e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  9.860e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  9.860e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  1.509e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  1.509e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  1.509e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -2.007e+01,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           -2.007e+01, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  -2.007e+01, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  -2.007e+01, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  -2.007e+01, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -8.157e+00, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -8.157e+00, 0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -8.157e+00, 0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -8.157e+00, 0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -8.157e+00,
           1.406e+01,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  2.289e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  1.361e+01,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  1.361e+01,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  1.361e+01,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  2.576e+00,  0.000e+00,  0.000e+00,  0.000e+00,
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           0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,  -5.642e+00, 0.000e+00,  0.000e+00,  0.000e+00,  0.000e+00,
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    std::vector<double> expected_force = {-4.007e-02, 7.418e-03, 1.044e-02, 4.502e-02, -3.032e-02, -3.193e-02};
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0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, -5.642e+00};
    std::vector<std::complex<double>> becp {{-3.876e-01, -2.696e-01}, {-5.148e-01, -3.581e-01}, {-9.181e-04, -6.385e-04}, {-1.125e-03, -7.821e-04}, {3.124e-03, 2.173e-03}, {-2.588e-03, -1.800e-03}, {-3.374e-03, -2.347e-03}, {8.543e-03, 5.942e-03}, {-5.185e-06, -3.606e-06}, {7.908e-05, 5.500e-05}, {7.730e-06, 5.376e-06}, {1.599e-05, 1.112e-05}, {-4.899e-05, -3.407e-05}, {1.540e-04, 1.071e-04}, {-1.513e-03, -1.052e-03}, {-2.877e-04, -2.001e-04}, {-2.978e-04, -2.071e-04}, {9.784e-04, 6.805e-04}, {-2.437e-02, -1.695e-02}, {-3.543e-02, -2.464e-02}, {1.538e-03, 1.070e-03}, {-1.549e-03, -1.077e-03}, {-1.166e-03, -8.109e-04}, {5.991e-03, 4.167e-03}, {-7.887e-05, -5.485e-05}, {-7.921e-03, -5.509e-03}, {5.477e-06, 3.809e-06}, {4.693e-04, 3.264e-04}, {8.557e-05, 5.951e-05}, {8.661e-05, 6.024e-05}, {-2.847e-04, -1.980e-04}, {9.259e-05, 6.439e-05}, {5.920e-04, 4.117e-04}, {1.246e-03, 8.667e-04}, {-8.009e-04, -5.571e-04}, {-4.644e-04, -3.230e-04}, {6.306e-02, 4.386e-02}, {7.003e-02, 4.871e-02}, {-9.125e-03, -6.346e-03}, {-5.198e-03, -3.615e-03}, {1.315e-02, 9.143e-03}, {-2.464e-02, -1.713e-02}, {-1.703e-02, -1.184e-02}, {3.734e-02, 2.597e-02}, {1.082e-07, 7.527e-08}, {4.895e-04, 3.405e-04}, {7.348e-05, 5.110e-05}, {1.141e-04, 7.938e-05}, {-3.149e-04, -2.190e-04}, {8.621e-05, 5.996e-05}, {-2.638e-03, -1.835e-03}, {6.175e-04, 4.295e-04}, {-1.270e-03, -8.835e-04}, {1.713e-03, 1.191e-03}, {-3.891e-01, -2.706e-01}, {-4.814e-01, -3.348e-01}, {9.084e-04, 6.318e-04}, {1.431e-03, 9.954e-04}, {-2.123e-03, -1.477e-03}, {5.393e-03, 3.751e-03}, {8.674e-03, 6.033e-03}, {-1.048e-02, -7.288e-03}, {-9.238e-06, -6.425e-06}, {4.167e-05, 2.898e-05}, {-1.036e-04, -7.207e-05}, {2.804e-05, 1.950e-05}, {-2.098e-05, -1.459e-05}, {2.091e-04, 1.454e-04}, {-3.834e-03, -2.667e-03}, {-1.061e-03, -7.379e-04}, {-5.888e-04, -4.095e-04}, {2.725e-03, 1.895e-03}, {5.613e-03, 3.904e-03}, {4.844e-03, 3.369e-03}, {-8.858e-02, -6.160e-02}, {-1.244e-01, -8.652e-02}, {4.021e-02, 2.797e-02}, {-2.379e-01, -1.655e-01}, {-3.330e-01, -2.316e-01}, {1.076e-01, 7.485e-02}, {-9.584e-05, -6.665e-05}, {1.262e-04, 8.779e-05}, {-3.825e-04, -2.661e-04}, {9.907e-05, 6.890e-05}, {-3.084e-04, -2.145e-04}, {1.730e-03, 1.203e-03}, {-2.963e-03, -2.061e-03}, {4.710e-03, 3.276e-03}, {-1.996e-03, -1.388e-03}, {5.195e-03, 3.613e-03}, {4.616e-02, 3.210e-02}, {4.850e-02, 3.373e-02}, {6.007e-03, 4.178e-03}, {9.855e-03, 6.854e-03}, {-2.934e-03, -2.041e-03}, {5.510e-02, 3.832e-02}, {7.752e-02, 5.392e-02}, {-2.507e-02, -1.743e-02}, {-2.995e-04, -2.083e-04}, {4.364e-04, 3.035e-04}, {-1.287e-03, -8.953e-04}, {3.286e-04, 2.285e-04}, {-9.865e-04, -6.861e-04}, {4.237e-03, 2.947e-03}, {-3.763e-03, -2.617e-03}, {6.045e-04, 4.205e-04}, {-4.799e-03, -3.337e-03}, {4.269e-03, 2.969e-03}, {5.231e-03, 3.638e-03}, {5.428e-03, 3.775e-03}, {8.837e-02, 6.146e-02}, {-1.724e-02, -1.199e-02}, {1.413e-01, 9.827e-02}, {2.341e-01, 1.628e-01}, {-4.535e-02, -3.154e-02}, {3.735e-01, 2.598e-01}, {4.462e-05, 3.103e-05}, {1.942e-04, 1.351e-04}, {-8.838e-06, -6.147e-06}, {3.425e-05, 2.382e-05}, {1.305e-04, 9.075e-05}, {-6.449e-04, -4.485e-04}, {-2.909e-03, -2.023e-03}, {-4.006e-04, -2.786e-04}, {-5.659e-04, -3.936e-04}, {-8.134e-04, -5.657e-04}, {2.570e-02, 1.787e-02}, {2.739e-02, 1.905e-02}, {-3.587e-03, -2.495e-03}, {1.290e-03, 8.971e-04}, {-4.420e-03, -3.074e-03}, {-2.945e-02, -2.049e-02}, {7.747e-03, 5.388e-03}, {-3.803e-02, -2.645e-02}, {4.154e-04, 2.889e-04}, {1.282e-03, 8.916e-04}, {-1.947e-04, -1.354e-04}, {3.944e-04, 2.743e-04}, {9.074e-04, 6.311e-04}, {-3.379e-03, -2.350e-03}, {2.348e-03, 1.633e-03}, {-2.575e-03, -1.791e-03}, {-3.190e-03, -2.219e-03}, {5.297e-03, 3.684e-03}, {-1.281e-03, -8.907e-04}, {-1.113e-03, -7.738e-04}, {1.087e-01, 7.558e-02}, {-1.057e-01, -7.349e-02}, {-8.153e-02, -5.671e-02}, {2.857e-01, 1.987e-01}, {-2.777e-01, -1.931e-01}, {-2.137e-01, -1.486e-01}, {-2.103e-06, -1.463e-06}, {1.403e-05, 9.761e-06}, {-2.067e-06, -1.438e-06}, {2.806e-05, 1.952e-05}, {2.283e-05, 1.588e-05}, {1.243e-04, 8.646e-05}, {4.073e-04, 2.833e-04}, {-3.761e-04, -2.615e-04}, {-3.533e-04, -2.458e-04}, {-2.540e-04, -1.766e-04}, {-8.412e-03, -5.850e-03}, {-2.160e-02, -1.503e-02}, {-5.271e-03, -3.666e-03}, {5.956e-03, 4.142e-03}, {1.954e-03, 1.359e-03}, {-1.321e-02, -9.190e-03}, {1.190e-02, 8.273e-03}, {-2.874e-04, -1.999e-04}, {5.642e-05, 3.924e-05}, {5.816e-05, 4.045e-05}, {-1.453e-04, -1.010e-04}, {-8.506e-05, -5.916e-05}, {1.681e-04, 1.169e-04}, {-8.346e-04, -5.804e-04}, {4.260e-03, 2.963e-03}, {2.427e-03, 1.688e-03}, {9.692e-04, 6.740e-04}, {-3.011e-03, -2.094e-03}, {-1.080e-02, -7.511e-03}, {-8.711e-03, -6.058e-03}, {1.428e-02, 9.935e-03}, {-1.974e-02, -1.373e-02}, {3.440e-02, 2.392e-02}, {3.240e-02, 2.253e-02}, {-4.436e-02, -3.086e-02}, {7.713e-02, 5.364e-02}, {-4.694e-04, -3.265e-04}, {-1.495e-03, -1.040e-03}, {4.295e-04, 2.987e-04}, {-6.958e-04, -4.839e-04}, {-5.350e-04, -3.721e-04}, {5.205e-03, 3.620e-03}, {1.093e-02, 7.601e-03}, {-1.005e-03, -6.989e-04}, {8.306e-03, 5.777e-03}, {-6.067e-04, -4.220e-04}, {-1.149e-02, -7.993e-03}, {-1.035e-02, -7.197e-03}, {3.260e-02, 2.267e-02}, {-2.201e-02, -1.531e-02}, {9.735e-02, 6.771e-02}, {1.374e-01, 9.558e-02}, {-8.937e-02, -6.216e-02}, {3.995e-01, 2.779e-01}, {9.882e-05, 6.873e-05}, {2.164e-04, 1.505e-04}, {-1.705e-04, -1.186e-04}, {1.751e-04, 1.218e-04}, {7.608e-05, 5.291e-05}, {-7.777e-04, -5.409e-04}, {6.830e-03, 4.750e-03}, {-2.283e-03, -1.588e-03}, {-7.674e-04, -5.337e-04}, {3.980e-04, 2.768e-04}, {-9.019e-03, -6.273e-03}, {-6.943e-03, -4.829e-03}, {-4.666e-02, -3.245e-02}, {-5.363e-02, -3.730e-02}, {9.385e-03, 6.527e-03}, {-1.038e-01, -7.217e-02}, {-1.189e-01, -8.270e-02}, {2.082e-02, 1.448e-02}, {6.163e-04, 4.286e-04}, {-2.434e-04, -1.693e-04}, {1.262e-03, 8.774e-04}, {-3.923e-04, -2.729e-04}, {1.376e-03, 9.568e-04}, {-7.773e-03, -5.406e-03}, {4.910e-03, 3.415e-03}, {-8.004e-03, -5.567e-03}, {5.393e-03, 3.751e-03}, {-1.103e-02, -7.669e-03}, {-4.704e-03, -3.272e-03}, {-4.624e-03, -3.216e-03}, {-8.180e-02, -5.689e-02}, {-6.867e-02, -4.776e-02}, {1.264e-02, 8.789e-03}, {-3.274e-01, -2.277e-01}, {-2.724e-01, -1.895e-01}, {4.799e-02, 3.338e-02}, {-1.954e-04, -1.359e-04}, {1.021e-04, 7.104e-05}, {-5.110e-04, -3.554e-04}, {1.493e-04, 1.038e-04}, {-4.204e-04, -2.924e-04}, {3.714e-04, 2.583e-04}, {1.954e-03, 1.359e-03}, {-6.801e-03, -4.730e-03}, {-1.943e-04, -1.351e-04}, {-6.497e-03, -4.519e-03}, {-4.639e-03, -3.226e-03}, {2.552e-03, 1.775e-03}, {-7.740e-03, -5.383e-03}, {-3.510e-03, -2.441e-03}, {1.153e-02, 8.017e-03}, {-1.369e-02, -9.524e-03}, {-1.190e-02, -8.274e-03}, {2.343e-02, 1.629e-02}, {-4.890e-05, -3.401e-05}, {1.552e-05, 1.079e-05}, {6.710e-04, 4.667e-04}, {-2.403e-06, -1.671e-06}, {-3.120e-04, -2.170e-04}, {6.478e-04, 4.506e-04}, {-4.509e-03, -3.136e-03}, {-8.190e-03, -5.696e-03}, {1.119e-05, 7.784e-06}, {5.517e-03, 3.837e-03}, {7.144e-03, 4.969e-03}, {5.609e-03, 3.901e-03}, {6.160e-02, 4.284e-02}, {-8.012e-02, -5.573e-02}, {-4.055e-02, -2.820e-02}, {2.523e-01, 1.755e-01}, {-3.261e-01, -2.268e-01}, {-1.647e-01, -1.146e-01}, {3.625e-06, 2.521e-06}, {1.303e-04, 9.065e-05}, {-1.302e-05, -9.056e-06}, {1.200e-05, 8.343e-06}, {-1.115e-04, -7.758e-05}, {-2.536e-04, -1.764e-04}, {-5.941e-04, -4.132e-04}, {-4.377e-04, -3.044e-04}, {6.821e-04, 4.744e-04}, {2.976e-04, 2.070e-04}, {-3.522e-02, -2.450e-02}, {-3.252e-02, -2.262e-02}, {7.344e-03, 5.108e-03}, {-4.557e-03, -3.169e-03}, {-1.347e-02, -9.366e-03}, {1.742e-02, 1.212e-02}, {-9.330e-03, -6.489e-03}, {-2.936e-02, -2.042e-02}, {3.856e-04, 2.682e-04}, {1.720e-03, 1.197e-03}, {8.475e-04, 5.894e-04}, {-4.840e-04, -3.366e-04}, {-1.396e-03, -9.710e-04}, {-7.361e-03, -5.119e-03}, {-3.978e-02, -2.766e-02}, {-1.219e-02, -8.477e-03}, {6.612e-03, 4.599e-03}, {2.927e-02, 2.036e-02}, {-3.099e-02, -2.155e-02}, {-3.408e-02, -2.370e-02}, {-9.966e-03, -6.931e-03}, {2.613e-03, 1.817e-03}, {1.796e-02, 1.249e-02}, {-3.643e-02, -2.534e-02}, {1.237e-02, 8.604e-03}, {6.041e-02, 4.201e-02}, {-2.204e-04, -1.533e-04}, {8.311e-04, 5.780e-04}, {8.020e-04, 5.578e-04}, {2.799e-04, 1.947e-04}, {-6.878e-04, -4.783e-04}, {6.266e-03, 4.358e-03}, {-3.336e-02, -2.320e-02}, {-1.273e-02, -8.854e-03}, {-1.327e-02, -9.228e-03}, {2.097e-02, 1.458e-02}, {1.849e-02, 1.286e-02}, {1.508e-02, 1.049e-02}, {-2.850e-04, -1.982e-04}, {-1.016e-03, -7.067e-04}, {1.000e-03, 6.958e-04}, {1.220e-03, 8.488e-04}, {2.233e-05, 1.553e-05}, {1.717e-03, 1.194e-03}, {2.060e-03, 1.433e-03}, {-2.762e-05, -1.921e-05}, {-1.071e-03, -7.448e-04}, {-1.985e-03, -1.380e-03}, {-4.052e-04, -2.818e-04}, {-3.848e-02, -2.676e-02}, {5.677e-04, 3.948e-04}, {2.273e-02, 1.581e-02}, {3.769e-02, 2.622e-02}, {8.434e-03, 5.866e-03}, {2.329e-02, 1.620e-02}, {1.840e-02, 1.280e-02}, {1.111e-03, 7.725e-04}, {-7.149e-03, -4.972e-03}, {-3.193e-03, -2.221e-03}, {9.216e-03, 6.410e-03}, {-1.828e-02, -1.272e-02}, {-1.313e-02, -9.130e-03}, {-1.232e-03, -8.571e-04}, {-2.426e-04, -1.687e-04}, {2.343e-04, 1.630e-04}, {1.169e-03, 8.128e-04}, {4.233e-04, 2.944e-04}, {3.580e-02, 2.490e-02}, {6.444e-03, 4.481e-03}, {-1.061e-02, -7.380e-03}, {-3.352e-02, -2.331e-02}, {-1.063e-02, -7.392e-03}, {1.310e-01, 9.113e-02}, {9.072e-02, 6.310e-02}, {4.664e-03, 3.244e-03}, {-5.851e-03, -4.069e-03}, {-7.865e-03, -5.470e-03}, {9.441e-03, 6.566e-03}, {-1.072e-02, -7.456e-03}, {-1.618e-02, -1.125e-02}, {-3.921e-04, -2.727e-04}, {1.225e-03, 8.519e-04}, {1.013e-03, 7.045e-04}, {-1.431e-04, -9.954e-05}, {-8.235e-04, -5.728e-04}, {7.131e-03, 4.959e-03}, {-3.271e-02, -2.275e-02}, {-1.902e-02, -1.323e-02}, {9.350e-04, 6.503e-04}, {1.966e-02, 1.368e-02}, {1.717e-01, 1.194e-01}, {1.252e-01, 8.708e-02}, {-6.414e-03, -4.461e-03}, {7.559e-03, 5.257e-03}, {1.202e-02, 8.357e-03}, {-2.244e-02, -1.561e-02}, {2.169e-02, 1.508e-02}, {3.786e-02, 2.633e-02}, {2.297e-04, 1.598e-04}, {5.084e-04, 3.536e-04}, {6.192e-04, 4.306e-04}, {-4.861e-05, -3.380e-05}, {-5.792e-04, -4.028e-04}, {-7.145e-03, -4.969e-03}, {-2.925e-02, -2.034e-02}, {-1.238e-02, -8.612e-03}, {-1.897e-03, -1.319e-03}, {2.136e-02, 1.485e-02}, {1.249e-02, 8.686e-03}, {7.723e-03, 5.371e-03}, {6.094e-03, 4.238e-03}, {-2.050e-03, -1.426e-03}, {7.041e-03, 4.897e-03}, {1.268e-02, 8.819e-03}, {-4.076e-03, -2.835e-03}, {1.464e-02, 1.018e-02}, {1.969e-03, 1.369e-03}, {-8.839e-04, -6.147e-04}, {5.513e-04, 3.834e-04}, {2.012e-03, 1.399e-03}, {-1.004e-03, -6.986e-04}, {-3.723e-02, -2.590e-02}, {1.846e-02, 1.284e-02}, {-1.168e-02, -8.125e-03}, {-3.864e-02, -2.688e-02}, {2.168e-02, 1.508e-02}, {1.606e-02, 1.117e-02}, {1.249e-02, 8.690e-03}, {-6.504e-03, -4.523e-03}, {5.162e-03, 3.590e-03}, {-2.712e-04, -1.886e-04}, {-1.615e-02, -1.123e-02}, {1.431e-02, 9.952e-03}, {6.532e-03, 4.543e-03}, {-1.093e-03, -7.599e-04}, {2.917e-04, 2.029e-04}, {1.174e-04, 8.163e-05}, {-1.128e-03, -7.844e-04}, {-4.458e-05, -3.100e-05}, {3.096e-02, 2.153e-02}, {-4.453e-03, -3.097e-03}, {-1.615e-03, -1.123e-03}, {3.163e-02, 2.200e-02}, {3.710e-03, 2.580e-03}, {1.400e-02, 9.734e-03}, {7.982e-03, 5.552e-03}, {-7.801e-03, -5.426e-03}, {1.665e-02, 1.158e-02}, {-1.689e-02, -1.175e-02}, {-1.260e-02, -8.761e-03}, {3.044e-02, 2.117e-02}, {-2.912e-02, -2.025e-02}, {2.204e-04, 1.533e-04}, {1.560e-03, 1.085e-03}, {-1.762e-03, -1.225e-03}, {7.550e-04, 5.251e-04}, {8.073e-04, 5.615e-04}, {-4.592e-03, -3.194e-03}, {-5.140e-02, -3.575e-02}, {4.976e-02, 3.461e-02}, {-1.959e-02, -1.363e-02}, {-1.514e-02, -1.053e-02}, {2.185e-02, 1.520e-02}, {1.371e-02, 9.536e-03}, {1.323e-02, 9.200e-03}, {-3.373e-02, -2.346e-02}, {4.015e-02, 2.792e-02}, {3.551e-02, 2.469e-02}, {-9.578e-02, -6.661e-02}, {1.097e-01, 7.629e-02}, {-2.164e-04, -1.505e-04}, {6.732e-04, 4.682e-04}, {-8.240e-04, -5.731e-04}, {-3.597e-04, -2.501e-04}, {6.288e-04, 4.373e-04}, {8.009e-03, 5.570e-03}, {-5.176e-02, -3.600e-02}, {4.443e-02, 3.090e-02}, {3.270e-03, 2.274e-03}, {-7.301e-03, -5.078e-03}, {-4.613e-03, -3.209e-03}, {-2.966e-03, -2.063e-03}, {-1.852e-02, -1.288e-02}, {-1.289e-02, -8.965e-03}, {-6.730e-03, -4.681e-03}, {-3.360e-02, -2.337e-02}, {-2.456e-02, -1.708e-02}, {-1.086e-02, -7.550e-03}, {5.738e-04, 3.991e-04}, {7.306e-04, 5.081e-04}, {1.421e-03, 9.884e-04}, {-5.646e-05, -3.927e-05}, {1.945e-03, 1.353e-03}, {-1.567e-02, -1.090e-02}, {-1.813e-02, -1.261e-02}, {-4.610e-02, -3.206e-02}, {3.070e-03, 2.135e-03}, {-6.173e-02, -4.293e-02}, {-5.813e-03, -4.043e-03}, {-3.774e-03, -2.625e-03}, {4.383e-02, 3.048e-02}, {3.021e-02, 2.101e-02}, {1.576e-02, 1.096e-02}, {1.206e-01, 8.387e-02}, {8.516e-02, 5.923e-02}, {4.135e-02, 2.876e-02}, {-2.969e-04, -2.065e-04}, {4.600e-04, 3.199e-04}, {4.292e-04, 2.985e-04}, {-9.489e-05, -6.599e-05}, {7.112e-04, 4.946e-04}, {2.507e-03, 1.744e-03}, {-1.247e-02, -8.671e-03}, {-4.344e-02, -3.021e-02}, {7.968e-03, 5.542e-03}, {-5.694e-02, -3.960e-02}, {4.735e-03, 3.293e-03}, {2.070e-03, 1.440e-03}, {-5.322e-02, -3.701e-02}, {-9.721e-04, -6.761e-04}, {-4.842e-02, -3.368e-02}, {-9.592e-02, -6.671e-02}, {-5.461e-04, -3.798e-04}, {-8.582e-02, -5.969e-02}, {-5.812e-04, -4.042e-04}, {-6.659e-04, -4.631e-04}, {1.083e-04, 7.531e-05}, {-2.678e-04, -1.862e-04}, {-8.839e-04, -6.148e-04}, {1.529e-02, 1.063e-02}, {2.774e-02, 1.929e-02}, {-7.161e-03, -4.980e-03}, {7.950e-03, 5.529e-03}, {3.561e-02, 2.477e-02}, {-1.399e-03, -9.730e-04}, {2.512e-04, 1.747e-04}, {-3.822e-02, -2.658e-02}, {-1.408e-05, -9.795e-06}, {-3.571e-02, -2.483e-02}, {-1.015e-01, -7.057e-02}, {2.342e-03, 1.629e-03}, {-9.350e-02, -6.503e-02}, {2.102e-04, 1.462e-04}, {2.827e-04, 1.966e-04}, {2.492e-05, 1.733e-05}, {7.834e-05, 5.448e-05}, {3.834e-04, 2.667e-04}, {-1.516e-02, -1.054e-02}, {-5.011e-02, -3.485e-02}, {6.416e-03, 4.462e-03}, {-8.953e-03, -6.227e-03}, {-6.244e-02, -4.342e-02}, {-4.530e-03, -3.151e-03}, {-1.586e-03, -1.103e-03}, {-2.835e-02, -1.971e-02}, {-6.253e-02, -4.349e-02}, {2.610e-02, 1.815e-02}, {-4.899e-02, -3.407e-02}, {-1.128e-01, -7.847e-02}, {4.544e-02, 3.160e-02}, {-3.794e-04, -2.639e-04}, {2.667e-04, 1.855e-04}, {-1.080e-03, -7.512e-04}, {6.562e-04, 4.564e-04}, {-2.500e-04, -1.739e-04}, {7.590e-03, 5.279e-03}, {-7.328e-03, -5.097e-03}, {3.866e-02, 2.689e-02}, {-1.487e-02, -1.034e-02}, {3.068e-03, 2.134e-03}, {4.699e-03, 3.268e-03}, {1.614e-03, 1.122e-03}, {-2.104e-02, -1.463e-02}, {-4.635e-02, -3.224e-02}, {2.081e-02, 1.447e-02}, {-5.121e-02, -3.561e-02}, {-1.223e-01, -8.508e-02}, {5.192e-02, 3.611e-02}, {2.316e-04, 1.611e-04}, {-1.427e-04, -9.923e-05}, {5.035e-04, 3.502e-04}, {-3.246e-04, -2.258e-04}, {1.982e-04, 1.379e-04}, {-9.054e-03, -6.297e-03}, {1.570e-02, 1.092e-02}, {-6.802e-02, -4.731e-02}, {1.412e-02, 9.818e-03}, {-1.319e-02, -9.171e-03}, {6.723e-02, 0.000e+00}, {4.271e-02, 0.000e+00}, {4.815e-02, 0.000e+00}, {8.432e-02, 0.000e+00}, {1.270e-01, 0.000e+00}, {1.495e-01, 0.000e+00}, {1.400e-01, 0.000e+00}, {1.149e-01, 0.000e+00}, {1.039e-01, 0.000e+00}, {1.099e-01, 0.000e+00}, {1.121e-01, 0.000e+00}, {9.701e-02, 0.000e+00}, {4.458e-02, 0.000e+00}, {6.191e-02, 0.000e+00}, {1.232e-01, 0.000e+00}, {1.955e-01, 0.000e+00}, {2.395e-01, 0.000e+00}, {2.455e-01, 0.000e+00}, {2.124e-01, 0.000e+00}, {1.558e-01, 0.000e+00}, {1.090e-01, 0.000e+00}, {8.385e-02, 0.000e+00}, {6.929e-02, 0.000e+00}, {5.548e-02, 0.000e+00}, {5.833e-02, 0.000e+00}, {1.359e-01, 0.000e+00}, {2.295e-01, 0.000e+00}, {2.747e-01, 0.000e+00}, {2.825e-01, 0.000e+00}, {2.812e-01, 0.000e+00}, {2.410e-01, 0.000e+00}, {1.578e-01, 0.000e+00}, {8.445e-02, 0.000e+00}, {4.754e-02, 0.000e+00}, {3.423e-02, 0.000e+00}, {3.293e-02, 0.000e+00}, {1.152e-01, 0.000e+00}, {2.259e-01, 0.000e+00}, {2.785e-01, 0.000e+00}, {2.593e-01, 0.000e+00}, {2.609e-01, 0.000e+00}, {2.807e-01, 0.000e+00}, {2.297e-01, 0.000e+00}, {1.249e-01, 0.000e+00}, {5.111e-02, 0.000e+00}, {2.456e-02, 0.000e+00}, {2.111e-02, 0.000e+00}, {4.121e-02, 0.000e+00}, {1.810e-01, 0.000e+00}, {2.730e-01, 0.000e+00}, {2.686e-01, 0.000e+00}, {2.400e-01, 0.000e+00}, {2.699e-01, 0.000e+00}, {2.760e-01, 0.000e+00}, {1.854e-01, 0.000e+00}, {7.826e-02, 0.000e+00}, {2.738e-02, 0.000e+00}, {1.584e-02, 0.000e+00}, {2.390e-02, 0.000e+00}, {7.306e-02, 0.000e+00}, {2.181e-01, 0.000e+00}, {2.815e-01, 0.000e+00}, {2.733e-01, 0.000e+00}, {2.722e-01, 0.000e+00}, {2.836e-01, 0.000e+00}, {2.252e-01, 0.000e+00}, {1.135e-01, 0.000e+00}, {3.882e-02, 0.000e+00}, {1.537e-02, 0.000e+00}, {1.418e-02, 0.000e+00}, {3.551e-02, 0.000e+00}, {1.075e-01, 0.000e+00}, {2.186e-01, 0.000e+00}, {2.706e-01, 0.000e+00}, {2.756e-01, 0.000e+00}, {2.632e-01, 0.000e+00}, {2.160e-01, 0.000e+00}, {1.262e-01, 0.000e+00}, {4.988e-02, 0.000e+00}, {1.826e-02, 0.000e+00}, {1.115e-02, 0.000e+00}, {1.688e-02, 0.000e+00}, {4.799e-02, 0.000e+00}, {1.242e-01, 0.000e+00}, {1.928e-01, 0.000e+00}, {2.293e-01, 0.000e+00}, {2.188e-01, 0.000e+00}, {1.733e-01, 0.000e+00}, {1.072e-01, 0.000e+00}, {4.866e-02, 0.000e+00}, {1.985e-02, 0.000e+00}, {1.097e-02, 0.000e+00}, {1.074e-02, 0.000e+00}, {2.099e-02, 0.000e+00}, {5.466e-02, 0.000e+00}, {1.208e-01, 0.000e+00}, {1.613e-01, 0.000e+00}, {1.668e-01, 0.000e+00}, {1.309e-01, 0.000e+00}, {8.035e-02, 0.000e+00}, {3.938e-02, 0.000e+00}, {1.793e-02, 0.000e+00}, {1.062e-02, 0.000e+00}, {9.166e-03, 0.000e+00}, {1.264e-02, 0.000e+00}, {2.657e-02, 0.000e+00}, {6.183e-02, 0.000e+00}, {1.158e-01, 0.000e+00}, {1.386e-01, 0.000e+00}, {1.118e-01, 0.000e+00}, {6.733e-02, 0.000e+00}, {3.361e-02, 0.000e+00}, {1.683e-02, 0.000e+00}, {1.107e-02, 0.000e+00}, {1.064e-02, 0.000e+00}, {1.254e-02, 0.000e+00}, {1.978e-02, 0.000e+00}, {4.299e-02, 0.000e+00}, {8.427e-02, 0.000e+00}, {1.255e-01, 0.000e+00}, {1.205e-01, 0.000e+00}, {7.665e-02, 0.000e+00}, {3.820e-02, 0.000e+00}, {1.989e-02, 0.000e+00}, {1.577e-02, 0.000e+00}, {1.851e-02, 0.000e+00}, {2.260e-02, 0.000e+00}, {2.601e-02, 0.000e+00}, {3.998e-02, 0.000e+00}, {7.483e-02, 0.000e+00}, {1.168e-01, 0.000e+00}, {1.380e-01, 0.000e+00}, {9.762e-02, 0.000e+00}, {5.517e-02, 0.000e+00}, {2.981e-02, 0.000e+00}, {2.859e-02, 0.000e+00}, {4.253e-02, 0.000e+00}, {5.835e-02, 0.000e+00}, {6.345e-02, 0.000e+00}, {6.135e-02, 0.000e+00}, {7.355e-02, 0.000e+00}, {1.050e-01, 0.000e+00}, {1.320e-01, 0.000e+00}, {1.305e-01, 0.000e+00}, {2.583e-02, 0.000e+00}, {3.333e-02, 0.000e+00}, {6.564e-02, 0.000e+00}, {1.162e-01, 0.000e+00}, {1.571e-01, 0.000e+00}, {1.593e-01, 0.000e+00}, {1.232e-01, 0.000e+00}, {7.976e-02, 0.000e+00}, {5.540e-02, 0.000e+00}, {4.815e-02, 0.000e+00}, {4.253e-02, 0.000e+00}, {3.300e-02, 0.000e+00}, {3.612e-02, 0.000e+00}, {8.250e-02, 0.000e+00}, {1.581e-01, 0.000e+00}, {2.254e-01, 0.000e+00}, {2.533e-01, 0.000e+00}, {2.325e-01, 0.000e+00}, {1.696e-01, 0.000e+00}, {9.724e-02, 0.000e+00}, {5.111e-02, 0.000e+00}, {3.194e-02, 0.000e+00}, {2.418e-02, 0.000e+00}, {2.289e-02, 0.000e+00}, {7.915e-02, 0.000e+00}, {1.691e-01, 0.000e+00}, {2.480e-01, 0.000e+00}, {2.796e-01, 0.000e+00}, {2.836e-01, 0.000e+00}, {2.572e-01, 0.000e+00}, {1.791e-01, 0.000e+00}, {8.861e-02, 0.000e+00}, {3.681e-02, 0.000e+00}, {1.941e-02, 0.000e+00}, {1.710e-02, 0.000e+00}, {2.992e-02, 0.000e+00}, {1.486e-01, 0.000e+00}, {2.445e-01, 0.000e+00}, {2.762e-01, 0.000e+00}, {2.720e-01, 0.000e+00}, {2.800e-01, 0.000e+00}, {2.514e-01, 0.000e+00}, {1.555e-01, 0.000e+00}, {6.383e-02, 0.000e+00}, {2.371e-02, 0.000e+00}, {1.450e-02, 0.000e+00}, {2.068e-02, 0.000e+00}, {5.860e-02, 0.000e+00}, {2.090e-01, 0.000e+00}, {2.776e-01, 0.000e+00}, {2.781e-01, 0.000e+00}, {2.771e-01, 0.000e+00}, {2.802e-01, 0.000e+00}, {2.170e-01, 0.000e+00}, {1.081e-01, 0.000e+00}, {3.741e-02, 0.000e+00}, {1.538e-02, 0.000e+00}, {1.417e-02, 0.000e+00}, {3.390e-02, 0.000e+00}, {1.014e-01, 0.000e+00}, {2.294e-01, 0.000e+00}, {2.775e-01, 0.000e+00}, {2.802e-01, 0.000e+00}, {2.745e-01, 0.000e+00}, {2.344e-01, 0.000e+00}, {1.410e-01, 0.000e+00}, {5.612e-02, 0.000e+00}, {2.001e-02, 0.000e+00}, {1.213e-02, 0.000e+00}, {1.795e-02, 0.000e+00}, {5.103e-02, 0.000e+00}, {1.322e-01, 0.000e+00}, {2.030e-01, 0.000e+00}, {2.375e-01, 0.000e+00}, {2.335e-01, 0.000e+00}, {1.998e-01, 0.000e+00}, {1.336e-01, 0.000e+00}, {6.299e-02, 0.000e+00}, {2.478e-02, 0.000e+00}, {1.314e-02, 0.000e+00}, {1.212e-02, 0.000e+00}, {2.231e-02, 0.000e+00}, {5.870e-02, 0.000e+00}, {1.300e-01, 0.000e+00}, {1.472e-01, 0.000e+00}, {1.602e-01, 0.000e+00}, {1.390e-01, 0.000e+00}, {9.673e-02, 0.000e+00}, {5.158e-02, 0.000e+00}, {2.360e-02, 0.000e+00}, {1.355e-02, 0.000e+00}, {1.062e-02, 0.000e+00}, {1.262e-02, 0.000e+00}, {2.312e-02, 0.000e+00}, {5.283e-02, 0.000e+00}, {1.025e-01, 0.000e+00}, {9.578e-02, 0.000e+00}, {8.768e-02, 0.000e+00}, {6.227e-02, 0.000e+00}, {3.596e-02, 0.000e+00}, {1.867e-02, 0.000e+00}, {1.205e-02, 0.000e+00}, {1.031e-02, 0.000e+00}, {1.036e-02, 0.000e+00}, {1.300e-02, 0.000e+00}, {2.298e-02, 0.000e+00}, {4.640e-02, 0.000e+00}, {7.740e-02, 0.000e+00}, {6.532e-02, 0.000e+00}, {4.606e-02, 0.000e+00}, {2.721e-02, 0.000e+00}, {1.588e-02, 0.000e+00}, {1.149e-02, 0.000e+00}, {1.183e-02, 0.000e+00}, {1.275e-02, 0.000e+00}, {1.271e-02, 0.000e+00}, {1.642e-02, 0.000e+00}, {3.012e-02, 0.000e+00}, {5.186e-02, 0.000e+00}, {6.846e-02, 0.000e+00}, {4.724e-02, 0.000e+00}, {2.733e-02, 0.000e+00}, {1.687e-02, 0.000e+00}, {1.500e-02, 0.000e+00}, {1.953e-02, 0.000e+00}, {2.576e-02, 0.000e+00}, {2.597e-02, 0.000e+00}, {2.271e-02, 0.000e+00}, {2.782e-02, 0.000e+00}, {4.449e-02, 0.000e+00}, {6.177e-02, 0.000e+00}, {6.390e-02, 0.000e+00}, {3.332e-02, 0.000e+00}, {2.176e-02, 0.000e+00}, {2.362e-02, 0.000e+00}, {3.915e-02, 0.000e+00}, {6.197e-02, 0.000e+00}, {7.387e-02, 0.000e+00}, {6.401e-02, 0.000e+00}, {4.759e-02, 0.000e+00}, {4.454e-02, 0.000e+00}, {5.389e-02, 0.000e+00}, {5.980e-02, 0.000e+00}, {5.102e-02, 0.000e+00}};
    std::vector<std::complex<double>> dbecp {{4.388e-04, 3.052e-04}, {5.431e-04, 3.777e-04}, {3.751e-04, 2.609e-04}, {-1.624e-02, -1.129e-02}, {-2.431e-04, -1.690e-04}, {9.842e-04, 6.845e-04}, {-4.348e-02, -3.024e-02}, {-6.309e-04, -4.388e-04}, {-1.783e-07, -1.240e-07}, {-2.138e-06, -1.487e-06}, {8.206e-06, 5.707e-06}, {9.943e-07, 6.915e-07}, {-1.934e-06, -1.345e-06}, {1.755e-05, 1.220e-05}, {1.492e-05, 1.038e-05}, {-1.862e-04, -1.295e-04}, {-4.462e-05, -3.104e-05}, {1.021e-04, 7.103e-05}, {3.775e-04, 2.626e-04}, {-4.535e-04, -3.154e-04}, {-3.996e-04, -2.779e-04}, {-6.746e-04, -4.692e-04}, {2.671e-04, 1.858e-04}, {1.046e-03, 7.277e-04}, {-4.950e-04, -3.442e-04}, {-6.049e-04, -4.207e-04}, {-1.690e-05, -1.175e-05}, {5.125e-05, 3.565e-05}, {-1.140e-04, -7.931e-05}, {2.556e-05, 1.778e-05}, {-5.819e-05, -4.047e-05}, {1.337e-04, 9.300e-05}, {-3.087e-05, -2.147e-05}, {9.859e-05, 6.857e-05}, {-1.693e-04, -1.178e-04}, {1.254e-04, 8.719e-05}, {2.077e-03, 1.444e-03}, {2.875e-03, 2.000e-03}, {5.694e-04, 3.960e-04}, {3.576e-03, 2.487e-03}, {-3.692e-04, -2.568e-04}, {2.858e-03, 1.987e-03}, {1.069e-02, 7.435e-03}, {-1.859e-03, -1.293e-03}, {9.379e-06, 6.523e-06}, {-2.568e-05, -1.786e-05}, {1.029e-04, 7.156e-05}, {-1.279e-05, -8.899e-06}, {2.301e-05, 1.601e-05}, {5.054e-05, 3.515e-05}, {-2.401e-04, -1.670e-04}, {-5.194e-04, -3.612e-04}, {-1.237e-04, -8.606e-05}, {3.931e-04, 2.734e-04}, {-1.071e-03, -7.448e-04}, {-1.397e-03, -9.713e-04}, {6.120e-04, 4.256e-04}, {-9.076e-03, -6.312e-03}, {-4.408e-04, -3.066e-04}, {2.036e-03, 1.416e-03}, {-3.866e-02, -2.689e-02}, {-1.421e-03, -9.884e-04}, {6.311e-06, 4.389e-06}, {-7.023e-06, -4.885e-06}, {2.861e-05, 1.989e-05}, {-1.151e-05, -8.006e-06}, {8.664e-06, 6.026e-06}, {-6.961e-05, -4.842e-05}, {-1.654e-04, -1.150e-04}, {5.683e-04, 3.952e-04}, {1.260e-04, 8.764e-05}, {3.411e-05, 2.372e-05}, {4.724e-02, 3.285e-02}, {4.979e-02, 3.463e-02}, {7.429e-04, 5.166e-04}, {1.214e-03, 8.446e-04}, {-1.282e-03, -8.915e-04}, {1.823e-03, 1.268e-03}, {2.821e-03, 1.962e-03}, {-3.472e-03, -2.414e-03}, {-1.695e-04, -1.179e-04}, {1.703e-04, 1.185e-04}, {-9.099e-06, -6.328e-06}, {2.821e-04, 1.962e-04}, {-7.504e-05, -5.219e-05}, {4.172e-03, 2.902e-03}, {-4.568e-03, -3.177e-03}, {-2.878e-04, -2.002e-04}, {-6.923e-03, -4.815e-03}, {1.947e-03, 1.354e-03}, {-8.852e-03, -6.157e-03}, {-1.338e-02, -9.309e-03}, {3.690e-04, 2.566e-04}, {2.505e-03, 1.742e-03}, {-1.314e-04, -9.140e-05}, {3.059e-03, 2.128e-03}, {1.100e-02, 7.653e-03}, {-4.788e-03, -3.330e-03}, {6.398e-05, 4.450e-05}, {1.080e-05, 7.510e-06}, {2.497e-05, 1.737e-05}, {-9.623e-05, -6.692e-05}, {-1.523e-05, -1.060e-05}, {-1.171e-03, -8.147e-04}, {-1.526e-03, -1.061e-03}, {9.712e-04, 6.754e-04}, {1.364e-03, 9.487e-04}, {1.227e-03, 8.535e-04}, {6.520e-03, 4.534e-03}, {6.694e-03, 4.656e-03}, {7.126e-04, 4.956e-04}, {4.047e-04, 2.814e-04}, {1.813e-04, 1.261e-04}, {2.014e-03, 1.401e-03}, {8.578e-04, 5.966e-04}, {8.058e-04, 5.604e-04}, {-1.668e-05, -1.160e-05}, {-1.780e-04, -1.238e-04}, {-4.778e-06, -3.323e-06}, {4.238e-05, 2.948e-05}, {-2.903e-04, -2.019e-04}, {3.756e-04, 2.612e-04}, {5.217e-03, 3.628e-03}, {-1.946e-04, -1.353e-04}, {-1.019e-03, -7.087e-04}, {8.297e-03, 5.770e-03}, {-9.542e-04, -6.636e-04}, {-1.248e-03, -8.677e-04}, {-1.161e-03, -8.075e-04}, {9.000e-04, 6.260e-04}, {-1.422e-03, -9.887e-04}, {2.326e-03, 1.618e-03}, {4.396e-03, 3.057e-03}, {-1.901e-04, -1.322e-04}, {-1.248e-05, -8.678e-06}, {-3.343e-05, -2.325e-05}, {2.694e-05, 1.873e-05}, {-2.218e-05, -1.543e-05}, {-4.974e-05, -3.459e-05}, {2.817e-04, 1.959e-04}, {-3.362e-04, -2.338e-04}, {8.784e-04, 6.109e-04}, {1.037e-04, 7.210e-05}, {2.353e-05, 1.636e-05}, {3.996e-02, 2.779e-02}, {4.095e-02, 2.848e-02}, {-1.095e-04, -7.616e-05}, {-1.926e-05, -1.340e-05}, {6.097e-05, 4.241e-05}, {-1.505e-04, -1.047e-04}, {1.300e-04, 9.042e-05}, {1.927e-04, 1.341e-04}, {-1.238e-04, -8.611e-05}, {-2.277e-04, -1.584e-04}, {3.719e-06, 2.586e-06}, {2.174e-04, 1.512e-04}, {1.730e-04, 1.203e-04}, {3.234e-03, 2.249e-03}, {6.564e-03, 4.565e-03}, {2.185e-04, 1.520e-04}, {-5.665e-03, -3.940e-03}, {-4.957e-03, -3.447e-03}, {-2.438e-03, -1.696e-03}, {-6.926e-04, -4.817e-04}, {-6.998e-04, -4.867e-04}, {7.674e-04, 5.337e-04}, {3.516e-04, 2.445e-04}, {-2.114e-03, -1.470e-03}, {-6.168e-04, -4.290e-04}, {2.121e-03, 1.475e-03}, {4.488e-05, 3.121e-05}, {-7.604e-05, -5.288e-05}, {-4.587e-05, -3.190e-05}, {-7.091e-05, -4.932e-05}, {4.516e-05, 3.141e-05}, {-4.365e-04, -3.036e-04}, {-6.164e-04, -4.287e-04}, {-9.270e-04, -6.447e-04}, {6.819e-04, 4.742e-04}, {3.931e-04, 2.734e-04}, {7.238e-03, 5.034e-03}, {5.714e-03, 3.974e-03}, {-2.495e-03, -1.735e-03}, {-2.072e-03, -1.441e-03}, {2.829e-04, 1.968e-04}, {-1.002e-02, -6.968e-03}, {-6.015e-03, -4.184e-03}, {-1.395e-03, -9.700e-04}, {-3.102e-05, -2.158e-05}, {-3.912e-05, -2.721e-05}, {1.169e-05, 8.128e-06}, {1.681e-05, 1.169e-05}, {-1.380e-04, -9.595e-05}, {8.065e-04, 5.609e-04}, {6.342e-04, 4.411e-04}, {7.626e-04, 5.304e-04}, {-1.097e-03, -7.626e-04}, {2.981e-03, 2.073e-03}, {1.284e-02, 8.928e-03}, {1.213e-02, 8.439e-03}, {-1.270e-03, -8.834e-04}, {-6.013e-04, -4.182e-04}, {-1.188e-04, -8.265e-05}, {-2.816e-03, -1.959e-03}, {-1.180e-03, -8.207e-04}, {3.048e-05, 2.120e-05}, {-1.369e-05, -9.523e-06}, {-5.592e-05, -3.889e-05}, {-4.693e-06, -3.264e-06}, {2.382e-05, 1.657e-05}, {-1.476e-04, -1.026e-04}, {7.881e-04, 5.481e-04}, {3.021e-03, 2.101e-03}, {-2.953e-04, -2.054e-04}, {-2.238e-03, -1.557e-03}, {8.972e-03, 6.240e-03}, {1.960e-02, 1.363e-02}, {1.512e-02, 1.051e-02}, {-1.222e-03, -8.498e-04}, {-3.106e-03, -2.161e-03}, {2.551e-03, 1.774e-03}, {-3.138e-03, -2.183e-03}, {-8.905e-03, -6.194e-03}, {9.660e-03, 6.718e-03}, {-1.558e-05, -1.083e-05}, {1.743e-04, 1.212e-04}, {5.660e-06, 3.937e-06}, {5.656e-05, 3.934e-05}, {-5.730e-05, -3.985e-05}, {1.343e-03, 9.341e-04}, {-4.593e-03, -3.194e-03}, {5.597e-04, 3.892e-04}, {-2.810e-03, -1.954e-03}, {1.595e-03, 1.109e-03}, {3.950e-02, 2.748e-02}, {3.651e-02, 2.539e-02}, {-3.834e-04, -2.666e-04}, {-3.407e-04, -2.370e-04}, {1.331e-03, 9.254e-04}, {-7.099e-04, -4.937e-04}, {3.517e-04, 2.446e-04}, {2.114e-03, 1.470e-03}, {-3.845e-05, -2.674e-05}, {1.288e-04, 8.961e-05}, {8.992e-07, 6.254e-07}, {6.859e-05, 4.771e-05}, {-2.458e-05, -1.709e-05}, {3.793e-03, 2.638e-03}, {-7.720e-03, -5.369e-03}, {-1.708e-05, -1.188e-05}, {-6.064e-03, -4.217e-03}, {1.358e-03, 9.443e-04}, {1.420e-03, 9.877e-04}, {2.040e-03, 1.419e-03}, {1.163e-03, 8.090e-04}, {-9.322e-04, -6.483e-04}, {-1.355e-03, -9.424e-04}, {2.316e-03, 1.611e-03}, {-1.015e-03, -7.056e-04}, {-3.754e-03, -2.611e-03}, {4.843e-05, 3.368e-05}, {-4.158e-05, -2.892e-05}, {-3.002e-05, -2.088e-05}, {-7.580e-05, -5.272e-05}, {-2.064e-07, -1.435e-07}, {-2.743e-04, -1.908e-04}, {-6.306e-04, -4.386e-04}, {-4.023e-04, -2.798e-04}, {3.575e-04, 2.486e-04}, {1.016e-03, 7.063e-04}, {4.677e-02, 3.253e-02}, {4.436e-02, 3.085e-02}, {1.976e-05, 1.375e-05}, {2.295e-04, 1.596e-04}, {1.568e-05, 1.090e-05}, {6.559e-04, 4.562e-04}, {8.176e-04, 5.686e-04}, {-4.478e-04, -3.114e-04}, {-5.914e-05, -4.113e-05}, {-6.963e-05, -4.843e-05}, {1.549e-05, 1.078e-05}, {1.050e-04, 7.303e-05}, {3.805e-05, 2.646e-05}, {3.935e-03, 2.737e-03}, {6.091e-03, 4.236e-03}, {7.270e-04, 5.057e-04}, {-7.006e-03, -4.873e-03}, {-3.987e-03, -2.773e-03}, {1.654e-03, 1.151e-03}, {1.076e-03, 7.483e-04}, {9.955e-03, 6.924e-03}, {-4.717e-03, -3.281e-03}, {-7.295e-03, -5.073e-03}, {2.467e-02, 1.716e-02}, {-1.424e-02, -9.907e-03}, {-1.858e-02, -1.292e-02}, {-1.702e-05, -1.184e-05}, {-2.219e-05, -1.543e-05}, {4.669e-05, 3.247e-05}, {3.449e-05, 2.398e-05}, {2.193e-05, 1.525e-05}, {1.927e-04, 1.340e-04}, {8.004e-04, 5.567e-04}, {-1.789e-03, -1.245e-03}, {-5.486e-04, -3.815e-04}, {-1.433e-03, -9.969e-04}, {-1.694e-03, -1.178e-03}, {-1.796e-03, -1.249e-03}, {5.030e-03, 3.498e-03}, {2.290e-03, 1.593e-03}, {-3.056e-03, -2.126e-03}, {1.904e-02, 1.324e-02}, {5.163e-03, 3.591e-03}, {-1.244e-02, -8.653e-03}, {1.202e-05, 8.357e-06}, {1.970e-05, 1.370e-05}, {2.184e-05, 1.519e-05}, {-1.850e-05, -1.287e-05}, {-5.444e-06, -3.786e-06}, {2.922e-04, 2.032e-04}, {-1.644e-03, -1.143e-03}, {2.651e-03, 1.843e-03}, {-2.345e-04, -1.631e-04}, {2.955e-03, 2.055e-03}, {2.940e-04, 2.045e-04}, {-2.934e-04, -2.041e-04}, {-1.419e-04, -9.867e-05}, {-1.355e-02, -9.426e-03}, {-2.100e-03, -1.461e-03}, {-3.558e-04, -2.475e-04}, {-3.537e-02, -2.460e-02}, {-5.371e-03, -3.735e-03}, {-1.918e-05, -1.334e-05}, {-6.987e-06, -4.859e-06}, {-1.251e-05, -8.703e-06}, {4.757e-05, 3.309e-05}, {-3.660e-05, -2.545e-05}, {6.667e-04, 4.636e-04}, {-6.272e-05, -4.362e-05}, {5.513e-05, 3.834e-05}, {-1.279e-03, -8.896e-04}, {7.883e-04, 5.483e-04}, {3.267e-03, 2.272e-03}, {1.674e-03, 1.164e-03}, {-9.160e-04, -6.371e-04}, {8.838e-03, 6.147e-03}, {1.494e-03, 1.039e-03}, {-3.922e-03, -2.728e-03}, {3.655e-02, 2.542e-02}, {6.540e-03, 4.549e-03}, {-1.340e-05, -9.317e-06}, {-2.826e-05, -1.966e-05}, {-1.514e-06, -1.053e-06}, {4.203e-05, 2.923e-05}, {-1.534e-05, -1.067e-05}, {1.253e-03, 8.712e-04}, {2.566e-05, 1.785e-05}, {-7.202e-04, -5.009e-04}, {-2.518e-03, -1.751e-03}, {6.248e-04, 4.346e-04}, {2.073e-03, 1.442e-03}, {1.067e-03, 7.419e-04}, {8.233e-03, 5.726e-03}, {1.188e-02, 8.264e-03}, {-4.929e-03, -3.428e-03}, {1.966e-02, 1.367e-02}, {2.839e-02, 1.975e-02}, {-1.209e-02, -8.405e-03}, {-2.623e-05, -1.824e-05}, {2.453e-05, 1.706e-05}, {-4.638e-05, -3.225e-05}, {4.053e-05, 2.819e-05}, {-1.585e-05, -1.103e-05}, {1.332e-04, 9.265e-05}, {3.981e-04, 2.769e-04}, {-1.253e-03, -8.713e-04}, {-3.543e-04, -2.464e-04}, {-1.009e-03, -7.015e-04}, {-3.665e-03, -2.549e-03}, {-2.256e-03, -1.569e-03}, {4.552e-03, 3.166e-03}, {8.466e-03, 5.888e-03}, {-3.194e-03, -2.221e-03}, {1.606e-02, 1.117e-02}, {2.952e-02, 2.053e-02}, {-1.231e-02, -8.563e-03}, {2.225e-05, 1.548e-05}, {-1.194e-05, -8.303e-06}, {9.558e-05, 6.647e-05}, {-4.615e-05, -3.210e-05}, {5.700e-05, 3.964e-05}, {-2.028e-04, -1.411e-04}, {-1.109e-03, -7.710e-04}, {2.379e-03, 1.655e-03}, {7.232e-04, 5.030e-04}, {1.596e-03, 1.110e-03}, {7.359e-04, 5.118e-04}, {4.563e-04, 3.174e-04}, {-4.599e-03, -3.199e-03}, {5.401e-03, 3.757e-03}, {-5.409e-03, -3.762e-03}, {-1.174e-02, -8.163e-03}, {1.368e-02, 9.512e-03}, {-1.366e-02, -9.498e-03}, {7.826e-06, 5.443e-06}, {-5.100e-05, -3.547e-05}, {-6.339e-06, -4.409e-06}, {5.313e-06, 3.695e-06}, {-6.812e-05, -4.738e-05}, {-2.094e-05, -1.457e-05}, {1.283e-03, 8.924e-04}, {5.539e-05, 3.852e-05}, {2.245e-04, 1.562e-04}, {1.385e-03, 9.633e-04}, {-2.455e-03, -1.707e-03}, {-1.440e-03, -1.002e-03}, {5.444e-04, 3.786e-04}, {-1.244e-03, -8.655e-04}, {-5.992e-04, -4.167e-04}, {3.094e-03, 2.152e-03}, {-5.465e-03, -3.801e-03}, {-1.951e-03, -1.357e-03}, {4.767e-05, 3.316e-05}, {-8.861e-05, -6.163e-05}, {1.657e-05, 1.152e-05}, {-6.156e-07, -4.281e-07}, {-9.663e-05, -6.721e-05}, {-1.010e-03, -7.026e-04}, {5.091e-04, 3.541e-04}, {7.647e-04, 5.318e-04}, {8.869e-04, 6.168e-04}, {9.887e-04, 6.876e-04}, {-5.863e-03, -4.078e-03}, {-3.044e-03, -2.117e-03}, {1.302e-02, 9.057e-03}, {5.678e-03, 3.949e-03}, {3.756e-03, 2.612e-03}, {2.974e-02, 2.068e-02}, {1.300e-02, 9.041e-03}, {9.857e-03, 6.855e-03}, {7.445e-05, 5.178e-05}, {-4.935e-05, -3.432e-05}, {2.973e-06, 2.068e-06}, {-6.719e-05, -4.673e-05}, {-4.300e-05, -2.991e-05}, {-1.361e-03, -9.468e-04}, {2.622e-04, 1.824e-04}, {-5.983e-05, -4.161e-05}, {1.271e-03, 8.838e-04}, {-2.059e-03, -1.432e-03}, {1.621e-02, 1.128e-02}, {9.905e-03, 6.889e-03}, {8.203e-03, 5.705e-03}, {1.849e-03, 1.286e-03}, {8.408e-04, 5.848e-04}, {2.777e-02, 1.931e-02}, {4.076e-03, 2.835e-03}, {5.361e-03, 3.728e-03}, {-4.898e-05, -3.406e-05}, {3.339e-05, 2.322e-05}, {9.086e-07, 6.319e-07}, {3.519e-05, 2.448e-05}, {9.281e-05, 6.455e-05}, {2.683e-03, 1.866e-03}, {2.434e-04, 1.693e-04}, {4.204e-04, 2.924e-04}, {-2.464e-03, -1.713e-03}, {6.584e-03, 4.579e-03}, {4.563e-03, 3.173e-03}, {2.617e-03, 1.820e-03}, {4.550e-03, 3.165e-03}, {-3.498e-03, -2.433e-03}, {1.562e-02, 1.086e-02}, {1.105e-02, 7.689e-03}, {-7.971e-03, -5.544e-03}, {3.596e-02, 2.501e-02}, {4.183e-07, 2.909e-07}, {-4.288e-05, 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{-3.327e-03, -2.314e-03}, {-4.127e-03, -2.871e-03}, {-4.550e-03, -3.165e-03}, {-1.167e-02, -8.119e-03}, {-9.889e-03, -6.878e-03}, {-1.105e-02, -7.689e-03}, {-2.677e-02, -1.862e-02}, {-1.025e-04, -7.130e-05}, {1.497e-06, 1.041e-06}, {-3.666e-06, -2.549e-06}, {-1.639e-05, -1.140e-05}, {6.760e-07, 4.702e-07}, {1.676e-03, 1.166e-03}, {2.102e-03, 1.462e-03}, {1.121e-03, 7.800e-04}, {5.309e-04, 3.693e-04}, {-2.410e-06, -1.676e-06}, {2.074e-02, 1.442e-02}, {1.206e-02, 8.389e-03}, {6.265e-04, 4.357e-04}, {-1.803e-03, -1.254e-03}, {-6.958e-03, -4.839e-03}, {3.543e-03, 2.464e-03}, {-7.484e-03, -5.205e-03}, {-2.296e-02, -1.597e-02}, {5.429e-05, 3.776e-05}, {-5.948e-05, -4.137e-05}, {-1.041e-05, -7.242e-06}, {1.092e-05, 7.593e-06}, {-1.855e-06, -1.290e-06}, {-3.949e-03, -2.746e-03}, {-6.112e-03, -4.251e-03}, {-3.039e-03, -2.114e-03}, {-1.185e-03, -8.241e-04}, {-6.598e-05, -4.589e-05}, {-1.875e-02, -1.304e-02}, {-9.341e-03, -6.497e-03}, {3.904e-03, 2.715e-03}, {7.056e-03, 4.907e-03}, {-1.839e-03, -1.279e-03}, {9.651e-03, 6.712e-03}, {1.565e-02, 1.089e-02}, {-3.801e-03, -2.644e-03}, {-1.053e-04, -7.321e-05}, {-1.015e-04, -7.063e-05}, {-8.299e-05, -5.772e-05}, {1.111e-05, 7.724e-06}, {-4.472e-06, -3.110e-06}, {4.266e-03, 2.967e-03}, {2.700e-03, 1.878e-03}, {5.159e-03, 3.588e-03}, {5.919e-05, 4.117e-05}, {1.741e-04, 1.211e-04}, {-1.780e-02, -1.238e-02}, {-9.713e-03, -6.755e-03}, {-2.549e-03, -1.773e-03}, {-8.072e-03, -5.614e-03}, {1.078e-03, 7.501e-04}, {-9.091e-03, -6.323e-03}, {-2.616e-02, -1.820e-02}, {3.157e-03, 2.196e-03}, {1.465e-05, 1.019e-05}, {-3.202e-05, -2.227e-05}, {1.123e-05, 7.813e-06}, {1.200e-05, 8.346e-06}, {-8.423e-07, -5.859e-07}, {3.927e-03, 2.732e-03}, {2.568e-03, 1.786e-03}, {4.948e-03, 3.441e-03}, {1.098e-04, 7.636e-05}, {1.743e-04, 1.212e-04}, {-9.904e-03, -6.888e-03}, {-4.448e-03, -3.093e-03}, {2.757e-03, 1.917e-03}, {-1.840e-03, -1.280e-03}, {9.801e-03, 6.817e-03}, {6.595e-03, 4.587e-03}, {-4.457e-03, -3.100e-03}, {2.226e-02, 1.548e-02}, {-2.615e-05, -1.819e-05}, {-1.058e-04, -7.359e-05}, {-1.584e-05, -1.102e-05}, {-8.474e-05, -5.893e-05}, {8.739e-06, 6.078e-06}, {1.545e-03, 1.075e-03}, {6.713e-03, 4.669e-03}, {-1.891e-03, -1.315e-03}, {1.897e-03, 1.319e-03}, {-7.451e-05, -5.182e-05}, {-9.400e-03, -6.538e-03}, {-4.374e-03, -3.042e-03}, {-2.024e-03, -1.408e-03}, {2.483e-03, 1.727e-03}, {-1.089e-02, -7.575e-03}, {-7.039e-03, -4.895e-03}, {8.388e-03, 5.834e-03}, {-3.582e-02, -2.492e-02}, {1.757e-05, 1.222e-05}, {1.564e-05, 1.088e-05}, {-4.537e-05, -3.156e-05}, {-3.372e-05, -2.345e-05}, {4.007e-06, 2.787e-06}, {1.452e-03, 1.010e-03}, {6.789e-03, 4.722e-03}, {-2.308e-03, -1.606e-03}, {1.838e-03, 1.278e-03}, {-2.786e-04, -1.937e-04}, {-3.122e-01, 1.367e-01}, {1.358e-01, 9.820e-02}, {7.772e-02, -8.192e-02}, {1.512e-01, 1.201e-01}, {-6.184e-02, -3.265e-02}, {3.019e-01, -1.921e-02}, {1.297e-02, -7.812e-02}, {-2.725e-01, 1.231e-01}, {-2.652e-01, 3.263e-02}, {2.528e-02, 2.350e-01}, {1.097e-01, 1.690e-01}, {-1.157e-04, 2.949e-02}, {-6.551e-02, -1.376e-01}, {8.629e-02, -1.459e-01}, {2.480e-01, 1.063e-02}, {1.601e-01, 2.519e-02}, {-1.150e-01, 1.894e-01}, {-2.447e-01, -8.917e-02}, {1.172e-01, -4.700e-02}, {1.469e-01, 3.122e-01}, {-1.590e-01, -4.486e-02}, {-1.225e-01, -3.097e-01}, {6.987e-02, -5.468e-01}, {-2.672e-02, 1.236e-01}, {-1.938e-01, 6.602e-02}, {-2.037e-02, 3.461e-01}, {1.024e-01, -6.124e-02}, {1.731e-01, 8.486e-02}, {-1.800e-01, -7.231e-02}, {-2.140e-01, 9.670e-02}, {2.851e-02, 2.322e-01}, {-2.368e-03, 2.000e-02}, {1.220e-01, 4.203e-02}, {-1.775e-01, -4.235e-01}, {2.869e-01, 2.542e-02}, {-1.255e-01, 1.447e-01}, {3.767e-01, 4.925e-02}, {1.327e-01, -4.685e-03}, {-4.138e-01, -1.250e-01}, {1.391e-01, -8.352e-02}, {4.860e-02, 1.079e-01}, {2.590e-01, 3.316e-01}, {1.770e-02, -1.439e-01}, {3.765e-01, -5.844e-02}, {-3.508e-01, -3.847e-02}, {-9.609e-02, -2.955e-01}, {1.602e-01, -1.565e-02}, {-8.509e-02, 4.010e-01}, {-5.926e-02, 8.006e-02}, {-1.985e-01, -7.214e-03}, {-3.964e-01, 1.082e-01}, {1.191e-01, -1.480e-01}, {4.492e-01, 7.392e-02}, {1.833e-02, 2.915e-01}, {-2.475e-02, -3.779e-01}, {3.003e-02, 3.127e-01}, {5.182e-02, -1.817e-02}, {1.936e-01, 2.857e-02}, {-1.063e-01, 2.661e-02}, {-2.575e-02, -7.326e-02}, {3.870e-02, 1.069e-01}, {-2.074e-01, 1.149e-01}, {4.922e-01, -6.143e-01}, {2.110e-01, 2.200e-01}, {-7.945e-02, 8.185e-03}, {7.315e-02, 2.066e-01}, {-2.267e-01, -5.577e-02}, {-2.698e-03, 1.999e-01}, {-8.155e-02, 1.113e-01}, {4.836e-01, 6.167e-02}, {2.025e-01, 3.544e-01}, {-3.466e-01, 2.246e-01}, {3.165e-01, -1.981e-01}, {6.913e-02, -1.530e-01}, {-2.995e-01, 1.600e-01}, {-6.714e-03, -1.222e-02}, {-1.279e-01, 3.216e-01}, {3.867e-01, -1.894e-01}, {2.805e-01, 3.608e-01}, {-2.064e-01, 1.677e-01}, {1.807e-01, -4.546e-01}, {2.517e-01, 9.952e-02}, {-1.224e-01, 9.967e-02}, {4.090e-02, 2.799e-01}, {-8.406e-02, 2.198e-02}, {-2.614e-01, -3.441e-01}, {2.708e-01, -2.273e-01}, {-3.404e-01, 1.913e-01}, {-1.196e-01, -8.694e-02}, {1.889e-01, -3.372e-01}, {-9.611e-02, 1.073e-01}, {1.790e-03, 1.261e-01}, {1.949e-01, 4.602e-02}, {8.979e-02, 6.324e-01}, {2.103e-02, 2.915e-01}, {-1.934e-02, 1.826e-01}, {2.546e-01, -3.625e-01}, {8.140e-02, -1.541e-02}, {7.640e-02, -6.695e-01}, {-1.047e-01, 2.021e-01}, {-2.229e-01, -7.648e-03}, {-1.881e-01, 3.385e-01}, {-8.875e-02, -8.394e-03}, {-1.447e-01, -2.344e-01}, {-5.044e-02, 3.602e-01}, {-1.011e-01, -1.869e-01}, {3.079e-01, 3.699e-02}, {-5.790e-02, -2.133e-01}, {1.472e-01, -3.211e-01}, {4.238e-02, -1.775e-01}, {5.698e-01, 2.720e-01}, {-7.826e-03, -8.540e-02}, {4.382e-01, 4.401e-01}, {-6.784e-01, 3.570e-01}, {3.423e-01, -4.487e-01}, {7.613e-02, -1.994e-01}, {1.880e-01, -6.321e-01}, {-9.442e-02, -5.537e-02}, {5.088e-02, 3.184e-01}, {-1.681e-01, 9.054e-02}, {1.870e-01, 1.510e-01}, {-2.724e-01, 1.509e-01}, {-1.443e-01, 4.440e-01}, {2.432e-01, 2.003e-02}, {1.447e-01, 1.057e-01}, {-2.469e-01, -5.143e-02}, {-3.187e-02, -6.149e-02}, {5.919e-02, -3.097e-02}, {1.483e-01, 5.120e-01}, {3.549e-01, -5.167e-01}, {4.576e-01, 4.784e-01}, {-5.656e-01, 2.460e-01}, {2.638e-01, -1.164e-01}, {-1.529e-01, -1.030e-01}, {2.590e-01, -3.614e-01}, {8.056e-02, -3.180e-01}, {4.093e-01, 2.591e-01}, {-3.251e-02, -2.050e-01}, {5.384e-03, 4.473e-03}, {-1.808e-01, -7.331e-03}, {1.156e-01, 4.372e-02}, {1.599e-01, 2.282e-01}, {-2.621e-01, 1.429e-01}, {-2.550e-01, 9.488e-02}, {-1.254e-01, 3.882e-01}, {-1.946e-02, 1.522e-01}, {-8.563e-02, 2.772e-01}, {3.940e-01, -2.362e-01}, {1.416e-01, 3.182e-01}, {-1.295e-01, 1.188e-02}, {-1.228e-02, 2.194e-01}, {-4.878e-01, -4.192e-01}, {-2.176e-01, 1.012e-01}, {-1.787e-01, -3.207e-01}, {3.487e-01, -9.502e-02}, {8.591e-02, -2.976e-01}, {-3.400e-01, -2.666e-01}, {3.495e-01, -4.190e-01}, {2.886e-01, -7.995e-02}, {-7.044e-02, -4.020e-02}, {-1.611e-01, 2.440e-02}, {-1.132e-01, 1.587e-01}, {-2.310e-01, 4.731e-01}, {-3.336e-02, -2.548e-01}, {1.264e-01, -1.625e-01}, {-1.828e-01, 2.058e-01}, {-6.460e-02, -2.414e-01}, {-5.941e-02, -7.028e-02}, {-3.722e-01, -2.911e-01}, {-3.263e-01, -7.827e-02}, {-3.190e-01, 1.098e-01}, {-5.837e-02, 5.144e-01}, {-5.117e-01, -2.380e-01}, {2.417e-01, -3.773e-01}, {-5.118e-02, 2.331e-02}, {3.767e-01, -2.324e-01}, {3.982e-01, -1.357e-01}, {-7.121e-02, -2.762e-01}, {1.737e-01, -6.659e-02}, {-2.256e-03, 2.503e-01}, {-3.756e-01, 2.094e-01}, {3.332e-02, -6.636e-01}, {2.332e-01, -1.685e-01}, {-5.479e-01, -1.161e-01}, {2.052e-01, -2.316e-01}, {-3.703e-01, 2.306e-01}, {2.918e-01, -1.211e-01}, {-2.121e-01, 3.512e-01}, {1.480e-01, -2.334e-01}, {-5.710e-01, 4.756e-01}, {-5.168e-01, -2.679e-01}, {2.816e-01, -2.875e-01}, {2.672e-01, 3.237e-01}, {-5.358e-02, -1.014e-01}, {1.317e-01, -1.558e-02}, {2.658e-01, -1.805e-01}, {2.029e-01, 3.395e-01}, {-8.317e-02, 1.334e-01}, {-2.797e-01, -4.035e-02}, {1.140e-01, -1.415e-01}, {4.661e-02, -9.174e-02}, {1.276e-01, -1.534e-01}, {2.640e-01, 1.336e-01}, {2.157e-01, 9.034e-02}, {8.429e-02, 8.183e-02}, {-3.867e-01, -1.661e-01}, {-3.555e-01, 1.282e-01}, {-5.415e-01, 1.940e-01}, {1.242e-01, -1.819e-01}, {2.189e-01, -2.151e-01}, {-2.067e-01, -1.474e-01}, {3.838e-02, -3.448e-01}, {7.102e-02, 1.357e-01}, {8.992e-02, 1.294e-01}, {-1.519e-01, 2.841e-01}, {-1.986e-01, -4.554e-02}, {2.982e-02, -1.063e-01}, {-1.212e-01, 1.161e-01}, {2.709e-01, -2.722e-01}, {1.307e-01, 1.155e-02}, {1.120e-01, -3.996e-01}, {9.465e-02, -5.949e-02}, {-2.743e-01, -1.017e-01}, {-3.842e-01, 3.086e-01}, {5.085e-02, 2.265e-02}, {7.672e-02, 4.378e-01}, {-8.216e-02, -1.208e-01}, {-1.170e-01, -2.391e-01}, {-9.368e-02, -1.528e-02}, {-7.824e-02, -3.975e-01}, {4.869e-01, 2.167e-02}, {-4.110e-01, 2.105e-01}, {-1.540e-01, 1.160e-01}, {-7.838e-02, -1.815e-01}, {1.945e-01, 1.650e-01}, {-1.269e-01, -2.169e-01}, {6.029e-02, -1.494e-01}, {1.846e-01, -3.641e-01}, {1.591e-01, 2.340e-02}, {1.381e-01, 4.636e-02}, {8.479e-02, 3.517e-01}, {-3.470e-01, 1.198e-01}, {2.095e-01, -2.064e-01}, {-8.875e-02, 2.927e-02}, {9.320e-03, 2.463e-01}, {-2.034e-02, -3.256e-01}, {2.642e-01, 3.260e-01}, {-3.988e-01, -1.589e-01}, {2.560e-01, 2.229e-01}, {-1.349e-01, 6.728e-02}, {-3.943e-02, -4.976e-02}, {1.002e-01, -3.316e-01}, {-3.460e-01, 3.336e-01}, {1.305e-01, 6.651e-02}, {-2.960e-02, -8.374e-03}, {5.461e-01, -6.982e-02}, {7.107e-02, 1.589e-01}, {8.913e-02, 1.328e-01}, {-3.384e-01, -1.981e-01}, {-4.554e-02, -3.742e-01}, {-1.848e-01, 1.866e-01}, {-4.061e-02, -8.037e-02}, {4.074e-01, 4.237e-02}, {-1.000e-01, -1.023e-01}, {-6.470e-02, -8.655e-02}, {-1.548e-01, 1.490e-01}, {-7.155e-02, 1.628e-01}, {1.661e-02, 9.518e-02}, {-2.233e-01, -2.772e-01}, {1.113e-01, -1.860e-01}, {-3.535e-01, 1.542e-01}, {1.201e-01, -1.412e-01}, {8.276e-02, 1.058e-01}, {-6.575e-02, -3.122e-01}, {3.010e-03, -7.779e-02}, {-3.171e-01, -1.162e-02}, {-2.569e-02, 4.691e-02}, {-1.284e-01, 7.774e-02}, {2.948e-01, -1.048e-02}, {1.564e-01, -6.530e-02}, {2.775e-01, -1.011e-01}, {-1.964e-01, 2.285e-01}, {-5.126e-02, -6.971e-02}, {-1.617e-01, 1.572e-02}, {1.717e-01, -3.212e-01}, {-2.388e-01, 3.344e-01}, {-3.385e-01, -1.263e-01}, {1.922e-01, -2.189e-01}};
    std::vector<int> atom_na {1, 1};
    std::vector<int> atom_nh {18, 18};

    using delmem_complex_op = psi::memory::delete_memory_op<std::complex<double>, psi::DEVICE_GPU>;
    using resmem_complex_op = psi::memory::resize_memory_op<std::complex<double>, psi::DEVICE_GPU>;
    using syncmem_complex_h2d_op = psi::memory::synchronize_memory_op<std::complex<double>, psi::DEVICE_GPU, psi::DEVICE_CPU>;
    using syncmem_complex_d2h_op = psi::memory::synchronize_memory_op<std::complex<double>, psi::DEVICE_CPU, psi::DEVICE_GPU>;

    using delmem_var_op = psi::memory::delete_memory_op<double, psi::DEVICE_GPU>;
    using resmem_var_op = psi::memory::resize_memory_op<double, psi::DEVICE_GPU>;
    using syncmem_var_h2d_op = psi::memory::synchronize_memory_op<double, psi::DEVICE_GPU, psi::DEVICE_CPU>;
    using syncmem_var_d2h_op = psi::memory::synchronize_memory_op<double, psi::DEVICE_CPU, psi::DEVICE_GPU>;

    using delmem_int_op = psi::memory::delete_memory_op<int, psi::DEVICE_GPU>;
    using resmem_int_op = psi::memory::resize_memory_op<int, psi::DEVICE_GPU>;
    using syncmem_int_h2d_op = psi::memory::synchronize_memory_op<int, psi::DEVICE_GPU, psi::DEVICE_CPU>;

    void SetUp() override {
    }
    void TearDown() override {
    }
};

TEST_F(TestSrcPWForceMultiDevice, cal_vkb1_nl_op_cpu)
{
    std::vector<std::complex<double>> res = vkb1;
    hamilt::cal_vkb1_nl_op<double, psi::DEVICE_CPU>()(
        cpu_ctx,
        nkb,
        npwx,
        npwk_max,
        vkb_nc,
        nbasis,
        ik,
        ipol,
        NEG_IMAG_UNIT,
        vkb.data(),
        gcar.data(),
        res.data());

    for (int ii = 0; ii < res.size(); ii++) {
        EXPECT_LT(std::abs(res[ii] - expected_vkb1[ii]), 6e-5);
    }
}

TEST_F(TestSrcPWForceMultiDevice, cal_force_nl_op_cpu)
{
    std::vector<double> res(expected_force.size(), 0.0);
    hamilt::cal_force_nl_op<double, psi::DEVICE_CPU>()(cpu_ctx,
                                                       multi_proj,
                                                       nbands_occ,
                                                       wg_nc,
                                                       ntype,
                                                       spin,
                                                       deeq_2,
                                                       deeq_3,
                                                       deeq_4,
                                                       forcenl_nc,
                                                       nbands,
                                                       ik,
                                                       nkb,
                                                       atom_nh.data(),
                                                       atom_na.data(),
                                                       tpiba,
                                                       wg.data(),
                                                       ekb.data(),
                                                       qq_nt.data(),
                                                       deeq.data(),
                                                       becp.data(),
                                                       dbecp.data(),
                                                       res.data());

    for (int ii = 0; ii < res.size(); ii++) {
        EXPECT_LT(fabs(res[ii] - expected_force[ii]), 6e-5);
    }
}

#if __CUDA || __UT_USE_CUDA || __ROCM || __UT_USE_ROCM
TEST_F(TestSrcPWForceMultiDevice, cal_vkb1_nl_op_gpu)
{
    std::vector<std::complex<double>> res = vkb1;
    std::complex<double> * d_res = nullptr, * d_vkb = nullptr;
    double * d_gcar = nullptr;
    resmem_complex_op()(gpu_ctx, d_res, res.size());
    resmem_complex_op()(gpu_ctx, d_vkb, vkb.size());
    resmem_var_op()(gpu_ctx, d_gcar, gcar.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_res, res.data(), res.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_vkb, vkb.data(), vkb.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_gcar, gcar.data(), gcar.size());

    hamilt::cal_vkb1_nl_op<double, psi::DEVICE_GPU>()(
        gpu_ctx,
        nkb,
        npwx,
        npwk_max,
        vkb_nc,
        nbasis,
        ik,
        ipol,
        NEG_IMAG_UNIT,
        d_vkb,
        d_gcar,
        d_res);
    syncmem_complex_d2h_op()(cpu_ctx, gpu_ctx, res.data(), d_res, res.size());

    for (int ii = 0; ii < res.size(); ii++) {
        EXPECT_LT(fabs(res[ii] - expected_vkb1[ii]), 6e-5);
    }

    delmem_complex_op()(gpu_ctx, d_res);
    delmem_complex_op()(gpu_ctx, d_vkb);
    delmem_var_op()(gpu_ctx, d_gcar);
}

TEST_F(TestSrcPWForceMultiDevice, cal_force_nl_op_gpu)
{
    std::vector<double> res(expected_force.size(), 0);
    double * d_res = nullptr, * d_wg = nullptr, * d_deeq = nullptr;
    double * d_ekb = nullptr, * d_qq_nt = nullptr;
    resmem_var_op()(gpu_ctx, d_wg, wg.size());
    resmem_var_op()(gpu_ctx, d_res, res.size());
    resmem_var_op()(gpu_ctx, d_deeq, deeq.size());
    resmem_var_op()(gpu_ctx, d_ekb, ekb.size());
    resmem_var_op()(gpu_ctx, d_qq_nt, qq_nt.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_wg, wg.data(), wg.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_res, res.data(), res.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_deeq, deeq.data(), deeq.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_ekb, ekb.data(), ekb.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_qq_nt, qq_nt.data(), qq_nt.size());

    int * d_atom_nh = nullptr, * d_atom_na = nullptr;
    resmem_int_op()(gpu_ctx, d_atom_nh, atom_nh.size());
    resmem_int_op()(gpu_ctx, d_atom_na, atom_na.size());
    syncmem_int_h2d_op()(gpu_ctx, cpu_ctx, d_atom_nh, atom_nh.data(), atom_nh.size());
    syncmem_int_h2d_op()(gpu_ctx, cpu_ctx, d_atom_na, atom_na.data(), atom_na.size());


    std::complex<double> * d_becp = nullptr, * d_dbecp = nullptr;
    resmem_complex_op()(gpu_ctx, d_becp, becp.size());
    resmem_complex_op()(gpu_ctx, d_dbecp, dbecp.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_becp, becp.data(), becp.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_dbecp, dbecp.data(), dbecp.size());

    hamilt::cal_force_nl_op<double, psi::DEVICE_GPU>()(
        gpu_ctx,
        multi_proj,
        nbands_occ,
        wg_nc,
        ntype,
        spin,
        deeq_2,
        deeq_3,
        deeq_4,
        forcenl_nc,
        nbands,
        ik,
        nkb,
        d_atom_nh,
        d_atom_na,
        tpiba,
        d_wg,
        d_ekb,
        d_qq_nt,
        d_deeq,
        d_becp,
        d_dbecp,
        d_res);
    syncmem_var_d2h_op()(cpu_ctx, gpu_ctx, res.data(), d_res, res.size());

    for (int ii = 0; ii < res.size(); ii++) {
        EXPECT_LT(fabs(res[ii] - expected_force[ii]), 6e-5);
    }

    delmem_var_op()(gpu_ctx, d_wg);
    delmem_var_op()(gpu_ctx, d_res);
    delmem_var_op()(gpu_ctx, d_deeq);
    delmem_var_op()(gpu_ctx, d_ekb);
    delmem_var_op()(gpu_ctx, d_qq_nt);

    delmem_int_op()(gpu_ctx, d_atom_nh);
    delmem_int_op()(gpu_ctx, d_atom_na);

    delmem_complex_op()(gpu_ctx, d_becp);
    delmem_complex_op()(gpu_ctx, d_dbecp);
}
#endif // __CUDA || __UT_USE_CUDA || __ROCM || __UT_USE_ROCM